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

DOI10.1090/ert/654arXiv2208.05207OpenAlexW4386590160MaRDI QIDQ6053550

Matthew Fayers, Lucia Morotti

Publication date: 19 October 2023

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.05207

zbMATH Keywords

symmetric groupalternating groupsupermoduledouble coverdecomposition numberreduction modulo prime

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Projective representations and multipliers (20C25)

Cites Work

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• Some combinatorial results involving shifted Young diagrams
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• On a conjecture of Carter concerning irreducible Specht modules
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• Irreducible projective representations of the symmetric group which remain irreducible in characteristic 2
• Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup 𝑄(𝑛)
• Projective representations of symmetric groups via Sergeev duality

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