Linear groups of alternating type containing non-scalar elements with all but one eigenvalues of multiplicity 1
Representation Theory
2025-09-09 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.2509.05770,
title = {Linear groups of alternating type containing non-scalar elements with all but one eigenvalues of multiplicity 1},
author = {Alexandre Zalesski},
journal= {arXiv preprint arXiv:2509.05770},
year = {2025}
}