Upper bounds for eigenvalue multiplicities of almost cyclic elements in irreducible representations of simple algebraic groups

Alexandre Zalesski

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arXiv · 2302.01824

Upper bounds for eigenvalue multiplicities of almost cyclic elements in irreducible representations of simple algebraic groups

Alexandre Zalesski

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Abstract

We study the irreducible representations of simple algebraic groups in which some non-central semisimple element has at most one eigenvalue of multiplicity greater than 1. We bound the multiplicity of this eigenvalue in terms of the rank of the group.

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Alexandre Zalesski. 2023-02-03. Upper bounds for eigenvalue multiplicities of almost cyclic elements in irreducible representations of simple algebraic groups. https://arxiv.org/abs/2302.01824

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