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arXiv:0811.1674 [math.RT]AbstractReferencesReviewsResources

An upper bound on the exceptional characteristics for Lusztig's character formula

Peter Fiebig

Published 2008-11-11, updated 2009-04-07Version 2

We develop and study a Lefschetz theory in a combinatorial category associated to a root system and derive an upper bound on the exceptional characteristics for Lusztig's formula for the simple rational characters of a reductive algebraic group. Our bound is huge compared to the Coxeter number. It is, however, given by an explicit formula.

Comments: 28 pages, minor revision
Categories: math.RT, math.CO
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