Class polynomials for some affine Hecke algebras
Representation Theory
2014-09-17 v1 Algebraic Geometry
Number Theory
Abstract
Class polynomials attached to affine Hecke algebras were first introduced by X.~He in \cite{He1}. They play an important role in the study of affine Deligne-Lusztig varieties. Motivated by \cite{He2}, we compute the class polynomials attached to an affine Hecke algebra of type (twisted) . Using these class polynomials we prove a conjecture of G\"{o}rtz-Haines-Kottwitz-Reuman for the general linear group, unitary group and division algebra of semisimple rank 2. Furthermore, we discuss some interesting patterns on affine Deligne-Lusztig varieties.
Cite
@article{arxiv.1409.4670,
title = {Class polynomials for some affine Hecke algebras},
author = {Zhongwei Yang},
journal= {arXiv preprint arXiv:1409.4670},
year = {2014}
}
Comments
40 pages, comments are welcome. arXiv admin note: text overlap with arXiv:1201.4901 by other authors