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Journal Articles Transformation Groups Year : 2022

A geometric Steinberg formula

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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Dates and versions

hal-03355997 , version 1 (27-09-2021)
hal-03355997 , version 2 (09-03-2022)

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Pramod N Achar, Simon Riche. A geometric Steinberg formula. Transformation Groups, In press. ⟨hal-03355997v2⟩
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