Mathematics – Representation Theory
Scientific paper
2008-11-11
Mathematics
Representation Theory
28 pages, minor revision
Scientific paper
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.
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