Lusztig's conjecture as a moment graph problem - Mathematics > Representation TheoryReport as inadecuate




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Abstract: We show that Lusztig-s conjecture on the irreducible characters of areductive algebraic group over a field of positive characteristic is equivalentto the generic multiplicity conjecture, which gives a formula for theJordan-H-older multiplicities of baby Verma modules over the corresponding Liealgebra. Then we give a short overview of a recent proof of the latterconjecture for almost all base fields via the theory of sheaves on momentgraphs.



Author: Peter Fiebig

Source: https://arxiv.org/







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