Generalized graded Hecke algebra for complex reflection group of type G(r,1,n)
Representation Theory
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
We study the representation theory of a generalized graded Hecke algebra associated to a complex reflection group of type G(r,1,n), defined by Ram and Shepler. We use a realization of this algebra in the corresponding symplectic reflection algebra to prove a PBW theorem. We define principal series modules and prove an irreducibility criterion for them.
Keywords
Cite
@article{arxiv.math/0605410,
title = {Generalized graded Hecke algebra for complex reflection group of type G(r,1,n)},
author = {C. Dezelee},
journal= {arXiv preprint arXiv:math/0605410},
year = {2007}
}
Comments
12 pages