The irreducible representations of the alternating group which remain irreducible in characteristic 𝑝

DOI10.1090/tran/6531zbMath1344.20018OpenAlexW1963930967MaRDI QIDQ2790716

Matthew Fayers

Publication date: 8 March 2016

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

Full work available at URL: https://doi.org/10.1090/tran/6531

zbMATH Keywords

partitionspositive characteristicirreducible characterssimple modulesalternating groupsirreducible representationsirreducible Specht modulesirreducible \(p\)-modular reductionsSpecht modules with two composition factors

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Modular representations and characters (20C20)

Related Items (6)

On the irreducible spin representations of symmetric and alternating groups which remain irreducible in characteristic 3 ⋮ Comparing Fock spaces in types \(A^{(1)}A^{(2)}\) ⋮ Height zero conjecture with Galois automorphisms ⋮ Irreducible projective representations of the alternating group which remain irreducible in characteristic 2 ⋮ Specht modules labelled by hook bipartitions. II ⋮ Crystals, regularisation and the Mullineux map

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