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An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
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Hendrik De Bie
SIGMA 4 (2008), 093, 11 pages [ abs
pdf ps ]
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Sonine Transform Associated to the Dunkl Kernel on the Real Line
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Fethi Soltani
SIGMA 4 (2008), 092, 14 pages [ abs
pdf ps ]
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External Ellipsoidal Harmonics for the Dunkl-Laplacian
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Hans Volkmer
SIGMA 4 (2008), 091, 13 pages [ abs
pdf ps ]
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Symmetries of Spin Calogero Models
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Vincent Caudrelier and Nicolas Crampé
SIGMA 4 (2008), 090, 15 pages [ abs
pdf ps ]
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A Probablistic Origin for a New Class of Bivariate Polynomials
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Michael R. Hoare and Mizan Rahman
SIGMA 4 (2008), 089, 18 pages [ abs
pdf ps ]
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Geodesically Complete Lorentzian Metrics on Some Homogeneous 3 Manifolds
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Shirley Bromberg and Alberto Medina
SIGMA 4 (2008), 088, 13 pages [ abs
pdf ps ]
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The N = 1 Triplet Vertex Operator Superalgebras: Twisted Sector
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Drazen Adamovic and Antun Milas
SIGMA 4 (2008), 087, 24 pages [ abs
pdf ps ]
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Vertex Algebroids over Veronese Rings
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Fyodor Malikov
SIGMA 4 (2008), 086, 28 pages [ abs
pdf ps ]
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String Functions for Affine Lie Algebras Integrable Modules
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Petr Kulish and Vladimir Lyakhovsky
SIGMA 4 (2008), 085, 18 pages [ abs
pdf ps ]
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Dunkl Hyperbolic Equations
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Hatem Mejjaoli
SIGMA 4 (2008), 084, 22 pages [ abs
pdf ps ]
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A Limit Relation for Dunkl-Bessel Functions of Type A and B
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Margit Rösler and Michael Voit
SIGMA 4 (2008), 083, 9 pages [ abs
pdf ps ]
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Some Orthogonal Polynomials in Four Variables
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Charles F. Dunkl
SIGMA 4 (2008), 082, 9 pages [ abs
pdf ps ]
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Generating Series for Nested Bethe Vectors
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Sergey Khoroshkin and Stanislav Pakuliak
SIGMA 4 (2008), 081, 23 pages [ abs
pdf ps ]
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Analyticity of the Free Energy of a Closed 3-Manifold
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Stavros Garoufalidis, Thang T.Q. Lê and Marcos Mariño
SIGMA 4 (2008), 080, 20 pages [ abs
pdf ps ]
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Non-Gatherable Triples for Non-Affine Root Systems
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Ivan Cherednik and Keith Schneider
SIGMA 4 (2008), 079, 12 pages [ abs
pdf ps ]
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Deligne-Beilinson Cohomology and Abelian Link Invariants
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Enore Guadagnini and Frank Thuillier
SIGMA 4 (2008), 078, 30 pages [ abs
pdf ps ]
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On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations
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Decio Levi, Matteo Petrera, Christian Scimiterna and Ravil Yamilov
SIGMA 4 (2008), 077, 14 pages [ abs
pdf ps ]
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Liouville Theorem for Dunkl Polyharmonic Functions
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Guangbin Ren and Liang Liu
SIGMA 4 (2008), 076, 6 pages [ abs
pdf ps ]
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Generalized Bessel function of Type D
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Nizar Demni
SIGMA 4 (2008), 075, 7 pages [ abs
pdf ps ]
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First Hitting Time of the Boundary of the Weyl Chamber by Radial Dunkl Processes
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Nizar Demni
SIGMA 4 (2008), 074, 14 pages [ abs
pdf ps ]
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Solutions Classification to the Extended Reduced Ostrovsky Equation
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Yury A. Stepanyants
SIGMA 4 (2008), 073, 19 pages [ abs
pdf ps ]
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A Jacobson Radical Decomposition of the Fano-Snowflake Configuration
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Metod Saniga and Petr Pracna
SIGMA 4 (2008), 072, 7 pages [ abs
pdf ps ]
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Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics
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Sergiu I. Vacaru
SIGMA 4 (2008), 071, 29 pages [ abs
pdf ps ]
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The PBW Filtration, Demazure Modules and Toroidal Current Algebras
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Evgeny Feigin
SIGMA 4 (2008), 070, 21 pages [ abs
pdf ps ]
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Homogeneous Poisson Structures on Loop Spaces of Symmetric Spaces
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Doug Pickrell
SIGMA 4 (2008), 069, 33 pages [ abs
pdf ps ]
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Wall Crossing, Discrete Attractor Flow and Borcherds Algebra
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Miranda C.N. Cheng and Erik P. Verlinde
SIGMA 4 (2008), 068, 33 pages [ abs
pdf ps ]
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Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions
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Khalifa Trimèche
SIGMA 4 (2008), 067, 22 pages [ abs
pdf ps ]
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Hochschild Cohomology Theories in White Noise Analysis
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Rémi Léandre
SIGMA 4 (2008), 066, 13 pages [ abs
pdf ps ]
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sl(2)-Trivial Deformations of VectPol(R)-Modules of Symbols
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Mabrouk Ben Ammar and Maha Boujelbene
SIGMA 4 (2008), 065, 19 pages [ abs
pdf ps ]
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Hochschild Homology and Cohomology of Klein Surfaces
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Frédéric Butin
SIGMA 4 (2008), 064, 26 pages [ abs
pdf ps ]
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Exterior Differential Systems for Yang-Mills Theories
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Frank B. Estabrook
SIGMA 4 (2008), 063, 4 pages [ abs
pdf ps ]
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Isoparametric and Dupin Hypersurfaces
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Thomas E. Cecil
SIGMA 4 (2008), 062, 28 pages [ abs
pdf ps ]
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Schwinger-Fronsdal Theory of Abelian Tensor Gauge Fields
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Sebastian Guttenberg and George Savvidy
SIGMA 4 (2008), 061, 17 pages [ abs
pdf ps ]
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Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
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Damien Calaque and Carlo A. Rossi
SIGMA 4 (2008), 060, 17 pages [ abs
pdf ps ]
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Projections of Singular Vectors of Verma Modules over Rank 2 Kac-Moody Lie Algebras
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Dmitry Fuchs and Constance Wilmarth
SIGMA 4 (2008), 059, 11 pages [ abs
pdf ps ]
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Contact Geometry of Hyperbolic Equations of Generic Type
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Dennis The
SIGMA 4 (2008), 058, 52 pages [ abs
pdf ps ]
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On Griess Algebras
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Michael Roitman
SIGMA 4 (2008), 057, 35 pages [ abs
pdf ps ]
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Tridiagonal Symmetries of Models of Nonequilibrium Physics
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Boyka Aneva
SIGMA 4 (2008), 056, 16 pages [ abs
pdf ps ]
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Space-Time Diffeomorphisms in Noncommutative Gauge Theories
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Marcos Rosenbaum, J. David Vergara and L. Román Juarez
SIGMA 4 (2008), 055, 21 pages [ abs
pdf ps ]
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Wigner Distribution Functions and the Representation of Canonical Transformations in Time-Dependent Quantum Mechanics
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Dieter Schuch and Marcos Moshinsky
SIGMA 4 (2008), 054, 12 pages [ abs
pdf ps ]
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Periodic and Solitary Travelling-Wave Solutions of an
Extended Reduced Ostrovsky Equation
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E. John Parkes
SIGMA 4 (2008), 053, 17 pages [ abs
pdf ps ]
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Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case.
II. The Spherical Subalgebra
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Tom H. Koornwinder
SIGMA 4 (2008), 052, 17 pages [ abs
pdf ps ]
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Quantum Painlevé Equations: from Continuous to Discrete
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Hajime Nagoya, Basil Grammaticos and Alfred Ramani
SIGMA 4 (2008), 051, 9 pages [ abs
pdf ps ]
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Twin ''Fano-Snowflakes'' over the Smallest Ring of Ternions
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Metod Saniga, Hans Havlicek, Michel Planat and Petr Pracna
SIGMA 4 (2008), 050, 7 pages [ abs
pdf ps ]
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Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations
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Kazunori Kuroki and Atsushi Nakayashiki
SIGMA 4 (2008), 049, 13 pages [ abs
pdf ps ]
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Solvable Two-Body Dirac Equation as a Potential Model of Light Mesons
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Askold Duviryak
SIGMA 4 (2008), 048, 19 pages [ abs
pdf ps ]
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Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras
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Reinhard Honegger, Alfred Rieckers and Lothar Schlafer
SIGMA 4 (2008), 047, 37 pages [ abs
pdf ps ]
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Hamiltonian Systems Inspired by the Schrödinger Equation
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Vasyl Kovalchuk and Jan Jerzy Slawianowski
SIGMA 4 (2008), 046, 9 pages [ abs
pdf ps ]
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Rapidities and Observable 3-Velocities in the Flat Finslerian Event Space with Entirely Broken 3D Isotropy
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George Yu. Bogoslovsky
SIGMA 4 (2008), 045, 21 pages [ abs
pdf ps ]
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Generalized Hasimoto Transform of One-Dimensional Dispersive Flows into Compact Riemann Surfaces
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Eiji Onodera
SIGMA 4 (2008), 044, 10 pages [ abs
pdf ps ]
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Riccati and Ermakov Equations in Time-Dependent and Time-Independent Quantum Systems
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Dieter Schuch
SIGMA 4 (2008), 043, 16 pages [ abs
pdf ps ]
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Local Quasitriangular Hopf Algebras
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Shouchuan Zhang, Mark D. Gould and Yao-Zhong Zhang
SIGMA 4 (2008), 042, 14 pages [ abs
pdf ps ]
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Integrable String Models in Terms of Chiral Invariants of SU(n), SO(n), SP(n) Groups
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Victor D. Gershun
SIGMA 4 (2008), 041, 16 pages [ abs
pdf ps ]
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Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology
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José M. Isidro and Pedro Fernández de Córdoba
SIGMA 4 (2008), 040, 10 pages [ abs
pdf ps ]
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Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms
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Milena Svobodová
SIGMA 4 (2008), 039, 13 pages [ abs
pdf ps ]
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Nonlinear Fokker-Planck Equation in the Model of Asset Returns
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Alexander Shapovalov, Andrey Trifonov and Elena Masalova
SIGMA 4 (2008), 038, 10 pages [ abs
pdf ps ]
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The Research of Thomas P. Branson
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Michael G. Eastwood and A. Rod Gover
SIGMA 4 (2008), 037, 7 pages [ abs
pdf ps ]
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A Quartic Conformally Covariant Differential Operator for Arbitrary Pseudo-Riemannian Manifolds (Summary)
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Stephen M. Paneitz
SIGMA 4 (2008), 036, 3 pages [ abs
pdf ps ]
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Relative differential K-characters
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Mohamed Maghfoul
SIGMA 4 (2008), 035, 10 pages [ abs
pdf ps ]
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Geometric Realizations of Bi-Hamiltonian Completely Integrable Systems
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Gloria Marí Beffa
SIGMA 4 (2008), 034, 23 pages [ abs
pdf ps ]
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The Fundamental k-Form and Global Relations
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Anthony C.L. Ashton
SIGMA 4 (2008), 033, 15 pages [ abs
pdf ps ]
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Equivariance, Variational Principles, and the Feynman Integral
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George Svetlichny
SIGMA 4 (2008), 032, 13 pages [ abs
pdf ps ]
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Recent Applications of the Theory of Lie Systems in Ermakov Systems
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José F. Cariñena, Javier de Lucas and Manuel F. Rañada
SIGMA 4 (2008), 031, 18 pages [ abs
pdf ps ]
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Geodesic Equations on Diffeomorphism Groups
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Cornelia Vizman
SIGMA 4 (2008), 030, 22 pages [ abs
pdf ps ]
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Reductions of Multicomponent mKdV Equations on Symmetric Spaces of DIII-Type
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Vladimir S. Gerdjikov and Nikolay A. Kostov
SIGMA 4 (2008), 029, 30 pages [ abs
pdf ps ]
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Noncommutative Lagrange Mechanics
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Denis Kochan
SIGMA 4 (2008), 028, 9 pages [ abs
pdf ps ]
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Applications of Group Analysis to the Three-Dimensional Equations of Fluids with Internal Inertia
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Piyanuch Siriwat and Sergey V. Meleshko
SIGMA 4 (2008), 027, 19 pages [ abs
pdf ps ]
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Unified Gauge Theories and Reduction of Couplings: from Finiteness to Fuzzy Extra Dimensions
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Myriam Mondragón and George Zoupanos
SIGMA 4 (2008), 026, 26 pages [ abs
pdf ps ]
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Free Field Construction of D-Branes in Rational Models of CFT and Gepner Models
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Sergei E. Parkhomenko
SIGMA 4 (2008), 025, 14 pages [ abs
pdf ps ]
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Effects of Quark Interactions on Dynamical Chiral Symmetry Breaking by a Magnetic Field
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Brigitte Hiller, Alexander A. Osipov, Alex H. Blin and João da Providência
SIGMA 4 (2008), 024, 14 pages [ abs
pdf ps ]
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SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
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Kazuki Hasebe
SIGMA 4 (2008), 023, 21 pages [ abs
pdf ps ]
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Hidden Symmetries of M-Theory and Its Dynamical Realization
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Alexei J. Nurmagambetov
SIGMA 4 (2008), 022, 18 pages [ abs
pdf ps ]
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On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices
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Victor M. Red'kov, Andrei A. Bogush and Natalia G. Tokarevskaya
SIGMA 4 (2008), 021, 46 pages [ abs
pdf ps ]
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An Infinite Dimensional Approach to the Third Fundamental Theorem of Lie
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Richard D. Bourgin and Thierry P. Robart
SIGMA 4 (2008), 020, 10 pages [ abs
pdf ps ]
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Single-Pole Interaction of the Particle with the String
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Milovan Vasilic and Marko Vojinovic
SIGMA 4 (2008), 019, 6 pages [ abs
pdf ps ]
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Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
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Anatoly G. Meshkov and Maxim Ju. Balakhnev
SIGMA 4 (2008), 018, 29 pages [ abs
pdf ps ]
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Branching Laws for Some Unitary Representations of SL(4,R)
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Bent Ørsted and Birgit Speh
SIGMA 4 (2008), 017, 19 pages [ abs
pdf ps ]
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The Variational Principle for the Uniform Acceleration and Quasi-Spin in Two Dimensional Space-Time
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Roman Ya. Matsyuk
SIGMA 4 (2008), 016, 11 pages [ abs
pdf ps ]
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Quasi-Linear Algebras and Integrability (the Heisenberg Picture)
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Luc Vinet and Alexei Zhedanov
SIGMA 4 (2008), 015, 22 pages [ abs
pdf ps ]
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Symmetry Transformation in Extended Phase Space: the Harmonic Oscillator in the Husimi Representation
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Samira Bahrami and Sadolah Nasiri
SIGMA 4 (2008), 014, 7 pages [ abs
pdf ps ]
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Towards Unifying Structures in Higher Spin Gauge Symmetry
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Anders K.H. Bengtsson
SIGMA 4 (2008), 013, 23 pages [ abs
pdf ps ]
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Preon Model and Family Replicated E6 Unification
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Chitta Ranjan Das and Larisa V. Laperashvili
SIGMA 4 (2008), 012, 15 pages [ abs
pdf ps ]
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Classical R-Operators and Integrable Generalizations of Thirring Equations
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Taras V. Skrypnyk
SIGMA 4 (2008), 011, 19 pages [ abs
pdf ps ]
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Global Attraction to Solitary Waves in Models Based on the Klein-Gordon Equation
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Alexander I. Komech and Andrew A. Komech
SIGMA 4 (2008), 010, 23 pages [ abs
pdf ps ]
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A Unified Model of Phantom Energy and Dark Matter
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Max Chaves and Douglas Singleton
SIGMA 4 (2008), 009, 11 pages [ abs
pdf ps ]
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Models for Quadratic Algebras Associated with Second Order Superintegrable Systems in 2D
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Ernest G. Kalnins, Willard Miller Jr. and Sarah Post
SIGMA 4 (2008), 008, 21 pages [ abs
pdf ps ]
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Three Order Parameters in Quantum XZ Spin-Oscillator Models with Gibbsian Ground States
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Teunis C. Dorlas and Wolodymyr I. Skrypnik
SIGMA 4 (2008), 007, 14 pages [ abs
pdf ps ]
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Symmetry Extensions and Their Physical Reasons in the Kinetic and Hydrodynamic Plasma Models
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Volodymyr B. Taranov
SIGMA 4 (2008), 006, 7 pages [ abs
pdf ps ]
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Poisson Manifolds, Lie Algebroids, Modular Classes: a Survey
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Yvette Kosmann-Schwarzbach
SIGMA 4 (2008), 005, 30 pages [ abs
pdf ps ]
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Generalized Symmetries of Massless Free Fields on Minkowski Space
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Juha Pohjanpelto and Stephen C. Anco
SIGMA 4 (2008), 004, 17 pages [ abs
pdf ps ]
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Affine Poisson Groups and WZW Model
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Ctirad Klimcík
SIGMA 4 (2008), 003, 5 pages [ abs
pdf ps ]
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E-Orbit Functions
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Anatoliy U. Klimyk and Jiri Patera
SIGMA 4 (2008), 002, 57 pages [ abs
pdf ps ]
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On the Role of the Normalization Factors κn
and of the Pseudo-Metric P ≠ P† in Crypto-Hermitian Quantum
Models
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Miloslav Znojil
SIGMA 4 (2008), 001, 9 pages [ abs
pdf ps ]
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