A geometric Steinberg formula

2021/09/24 by Achar, Pramod N., Riche, Simon · 1 citation
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2109.11980

Abstract

We prove an isomorphism for simple perverse sheaves on the affine Grassmannian of a connected reductive algebraic group that is a geometric counterpart (in light of the Finkelberg-Mirković conjecture) of the Steinberg tensor product formula for simple representations of reductive groups over fields of positive characteristic.

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• Tilting modules for reductive algebraic groups: characters and support varieties

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