Irreducible tensor products for alternating groups in characteristics 2 and 3

verfasst von

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.

Organisationseinheit(en)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Typ

Artikel

Journal

Journal of Pure and Applied Algebra

Band

224

ISSN

0022-4049

Publikationsdatum

12.2020

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Algebra und Zahlentheorie

Elektronische Version(en)

https://arxiv.org/abs/1901.06997 (Zugang: Offen)
https://doi.org/10.1016/j.jpaa.2020.106426 (Zugang: Geschlossen)