Irreducible tensor products for alternating groups in characteristics 2 and 3

authored by

Lucia Morotti

Abstract

In this paper we study irreducible tensor products of representations of alternating groups in characteristic 2 and 3. In characteristic 3 we completely classify irreducible tensor products, while in characteristic 2 we completely classify irreducible tensor products where neither factor in the product is a basic spin module. In characteristic 2 we also give some necessary conditions for the tensor product of an irreducible module with a basic spin module to be irreducible.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

Type

Article

Journal

Journal of Pure and Applied Algebra

Volume

224

ISSN

0022-4049

Publication date

12.2020

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Algebra and Number Theory

Electronic version(s)

https://arxiv.org/abs/1901.06997 (Access: Open)
https://doi.org/10.1016/j.jpaa.2020.106426 (Access: Closed)