Une generalisation de l'algebre de Hecke graduee de type B
Representation Theory
2007-05-23 v3
Abstract
For a root system of type we study an algebra similar to a graded Hecke algebra, isomorphic to a subalgebra of the rational Cherednik algebra. We introduce principal series modules over it and prove an irreducibility criterion for these modules. We deduce similar results for an algebra associated to a root system of type .
Cite
@article{arxiv.math/0304484,
title = {Une generalisation de l'algebre de Hecke graduee de type B},
author = {C. Dezelee},
journal= {arXiv preprint arXiv:math/0304484},
year = {2007}
}
Comments
21 pages, french, corrected and enlarged version