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arXiv · 2509.05770

Linear groups of alternating type containing non-scalar elements with all but one eigenvalues of multiplicity 1

Alexandre Zalesski
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Abstract

We determine the irreducible representations of alternating and symmetric groups and their universal central extensions that contain a non-scalar element with all but one eigenvalues of multiplicity 1. The ground field is algebraically closed of arbitrary characteristic.

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Alexandre Zalesski. 2025-09-06. Linear groups of alternating type containing non-scalar elements with all but one eigenvalues of multiplicity 1. https://arxiv.org/abs/2509.05770

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