Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems

DOI10.1090/ert/538zbMath1480.20036arXiv1903.09851OpenAlexW3008864258MaRDI QIDQ5221314

Lucia Morotti, Alexander S. Kleshchev, Pham Hũ'u Tiêp

Publication date: 25 March 2020

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

Full work available at URL: https://arxiv.org/abs/1903.09851

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Maximal subgroups (20E28) Modular representations and characters (20C20)

Related Items (1)

Irreducible restrictions of representations of symmetric and alternating groups in small characteristics

Uses Software

• GAP

Cites Work

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• On the maximal subgroups of the finite classical groups
• The complex characters of the symmetric groups that remain irreducible in subgroups
• Some projective representations of \(S_n\)
• The representation theory of the symmetric groups
• Branching of modular representations of the alternating groups
• A proof of the Mullineux conjecture
• Residue symbols and Jantzen-Seitz partitions
• On residue symbols and the Mullineux conjecture
• Representations of the symmetric group are reducible over simply transitive subgroups
• Irreducible tensor products for alternating groups in characteristic \(5\)
• Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems
• Representations of the Alternating Group which are Irreducible Over Subgroups
• The Maximal Subgroups of the Low-Dimensional Finite Classical Groups
• Spin Modules for Symmetric Groups
• An Interchange Property in Finite Permutation Groups
• On the Representation Theory of the Symmetric Groups
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
• On restrictions of Irreducible Modular Representations of Semisimple Algebraic Groups and Symmetric Groups to Some Natural Subgroups, I
• On Decomposition Numbers and Branching Coefficients for Symmetric and Special Linear Groups
• Minimal polynomials of elements of order $p$ in $p$-modular projective representations of alternating groups
• Representations of the symmetric group which are irreducible over subgroups
• Some remarks on maximal subgroups of finite classical groups

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