Upper bounds for eigenvalue multiplicities of almost cyclic elements in irreducible representations of simple algebraic groups
Group Theory
2023-07-20 v3
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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Cite
@article{arxiv.2302.01824,
title = {Upper bounds for eigenvalue multiplicities of almost cyclic elements in irreducible representations of simple algebraic groups},
author = {Alexandre Zalesski},
journal= {arXiv preprint arXiv:2302.01824},
year = {2023}
}
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