Publication

Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic

Mikko Tapani Korhonen
2019
Journal Articles

Abstract

Let $G$ be a classical group with natural module $V$ over an algebraically closed field of good characteristic. For every unipotent element $u$ of $G$ , we describe the Jordan block sizes of $u$ on the irreducible $G$ -modules which occur as composition factors of $V \otimes V^*$ , $\wedge ^2(V)$ , and $S^2(V)$ . Our description is given in terms of the Jordan block sizes of the tensor square, exterior square, and the symmetric square of $u$ , for which recursive formulae are known.

Official source

https://infoscience.epfl.ch/entities/publication/424cad2d-2e42-4d77-8884-05aff88d3846

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Mikko Tapani Korhonen
2019
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/424cad2d-2e42-4d77-8884-05aff88d3846

About this result

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Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic

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