Contraction par Frobenius de G-modules

Details Contraction par Frobenius de G-modules Contraction par Frobenius de G-modules

2010-04-12

arxiv.org/abs/1004.1939v1

Mathematics

Representation Theory

23 pages

Scientific paper

Let G be a simply connected semisimple algebraic group over an algebraically
closed field k of positive characteristic. We will untwist the structure of
G-modules by a newly found splitting of the Frobenius endomorphism on the
algebra of distributions of G, which, for example, explains the subsumed
G-equivariant nature of the Frobenius splitting of the flag variety of G.

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