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arXiv · 2109.11980

A geometric Steinberg formula

Pramod N. Achar·Simon Riche
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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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Pramod N. Achar, Simon Riche. 2022-02-16. A geometric Steinberg formula. https://arxiv.org/abs/2109.11980

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