On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 3

verfasst von

Matthew Fayers, Lucia Morotti

Abstract

For any finite group G and any prime p one can ask which ordinary irreducible representations remain irreducible in characteristic p, or more generally, which representations remain homogeneous in characteristic p. In this paper we address this question when G is a proper double cover of the symmetric or alternating group. We obtain a classification when p = 3 except in the case of a certain family of partitions relating to spin RoCK blocks. Our techniques involve induction and restriction, degree calculations, decomposing projective characters and recent results of Kleshchev and Livesey on spin RoCK blocks.

Organisationseinheit(en)

Institut für Algebra, Zahlentheorie und Diskrete Mathematik

Externe Organisation(en)

Queen Mary University of London

Typ

Artikel

Journal

Representation theory

Band

27

Seiten

778-814

Anzahl der Seiten

37

ISSN

1088-4165

Publikationsdatum

2023

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Mathematik (sonstige)

Elektronische Version(en)

https://doi.org/10.1090/ert/654 (Zugang: Offen)