paper

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

arXiv:2509.05770

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.

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