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arXiv · 0712.3909

Lusztig's conjecture as a moment graph problem

Peter Fiebig
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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.

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Peter Fiebig. 2009-04-07. Lusztig's conjecture as a moment graph problem. https://doi.org/10.1112/blms%2Fbdq058

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