Alcove walks and nearby cycles on affine flag manifolds
Representation Theory
2007-05-23 v1 Algebraic Geometry
Abstract
Using Ram's theory of alcove walks, we give a proof of the Bernstein presentation of the affine Hecke algebra. The method works also in the case of unequal parameters. We also discuss how these results help in studying sheaves of nearby cycles on affine flag manifolds.
Keywords
Cite
@article{arxiv.math/0610839,
title = {Alcove walks and nearby cycles on affine flag manifolds},
author = {Ulrich Goertz},
journal= {arXiv preprint arXiv:math/0610839},
year = {2007}
}