Kazhdan-Lusztig combinatorics via sheaves on Bruhat graphs

Details Kazhdan-Lusztig combinatorics via sheaves on Bruhat graphs Kazhdan-Lusztig combinatorics via sheaves on Bruhat graphs

2005-12-14

arxiv.org/abs/math/0512311v2

in "Algebraic and Geometric Combinatorics" (Anogia, Crete, 2005), 195-204, Contemp. Math. 423 (2007)

Mathematics

Representation Theory

10 pages; references added; to appear in the proceedings for the conference "Algebraic and Geometric Combinatorics" in Anogia,

Scientific paper

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.

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