Kazhdan-Lusztig combinatorics via sheaves on Bruhat graphs
Representation Theory
2010-09-21 v2 Combinatorics
Abstract
We study the projective objects in an exact category naturally associated to a Coxeter system. We discuss an analog of the Kazhdan-Lusztig conjecture and show how it follows from a "genericity" conjecture and how the latter follows from a "Hard Lefschetz" conjecture.
Cite
@article{arxiv.math/0512311,
title = {Kazhdan-Lusztig combinatorics via sheaves on Bruhat graphs},
author = {Peter Fiebig},
journal= {arXiv preprint arXiv:math/0512311},
year = {2010}
}
Comments
10 pages; references added; to appear in the proceedings for the conference "Algebraic and Geometric Combinatorics" in Anogia, Crete, in August 2005