仿射Hecke代数的解析R-群
表示论
2010-09-01 v2
摘要
我们定义了仿射Hecke代数的解析-群，并证明了Knapp-Stein维数定理的类比。作为推论，我们证明了酉主序列表示的交换子代数同构于-群的复群代数，但被某个2-上循环扭曲。对于经典Hecke代数，我们证明了总是平凡的。
引用
@article{arxiv.0909.1227,
title = {Analytic R-groups of affine Hecke algebras},
author = {Eric Opdam and Patrick Delorme},
journal= {arXiv preprint arXiv:0909.1227},
year = {2010}
}
备注
Some improvements in the presentation were made, and an example has been added showing the nontriviality of the cohomology class of the 2-cocycle $\gamma_\Delta$ (as opposed to $\gamma$ itself) for Hecke algebras of type D