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H. Burgiel and V. Reiner
Two Signed Associahedra
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| Published: |
August 2, 1998 |
| Keywords: |
associahedron, Coxeter groups, convex polytope, triangulation |
| Subject: |
Primary, 52B12, 20F55 |
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Abstract
The associahedron is a convex polytope
whose vertices correspond to triangulations of a convex polygon. We
define two signed or hyperoctahedral analogues of the associahedron,
one of which is shown to be a simple convex polytope, and the other a
regular CW-sphere.
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| Acknowledgements
First author's research supported by a Postdoctoral fellowship at The Geometry Center at the University of Minnesota. Second author's research supported by a Sloan Foundation Fellowship and a University of Minnesota McKnight-Land Grant Fellowship.
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| Author information
H. Burgiel:
Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 851 South Morgan St. (M/C 249), Chicago, IL 60607-7045
burgiel@math.uic.edu
http://math.uic.edu/~burgiel
V. Reiner:
University of Minnesota School of Mathematics, Minneapolis, MN 55455
reiner@math.umn.edu
http://www.math.umn.edu/~reiner
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