Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 10 (2014), 098, 7 pages      arXiv:1403.6817      https://doi.org/10.3842/SIGMA.2014.098
Contribution to the Special Issue on New Directions in Lie Theory

Center of Twisted Graded Hecke Algebras for Homocyclic Groups

Wee Liang Gan a and Matthew Highfield b
a) University of California, Riverside, CA 92521, USA
b) Pepperdine University, Malibu, CA 90263, USA

Received March 31, 2014, in final form October 10, 2014; Published online October 15, 2014

Abstract
We determine explicitly the center of the twisted graded Hecke algebras associated to homocyclic groups. Our results are a generalization of formulas by M. Douglas and B. Fiol in [J. High Energy Phys. 2005 (2005), no. 9, 053, 22 pages].

Key words: twisted graded Hecke algebra; homocyclic group.

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