Lusztig's conjecture as a moment graph problem
Representation Theory
2011-01-13 v4 Combinatorics
Abstract
We show that Lusztig's conjecture on the irreducible characters of a reductive algebraic group over a field of positive characteristic is equivalent to the generic multiplicity conjecture, which gives a formula for the Jordan-H"older multiplicities of baby Verma modules over the corresponding Lie algebra. Then we give a short overview of a recent proof of the latter conjecture for almost all base fields via the theory of sheaves on moment graphs.
Cite
@article{arxiv.0712.3909,
title = {Lusztig's conjecture as a moment graph problem},
author = {Peter Fiebig},
journal= {arXiv preprint arXiv:0712.3909},
year = {2011}
}
Comments
17 pages; revised version with minor changes