On restrictions of modular spin representations of symmetric and alternating groups

DOI10.1090/S0002-9947-03-03364-6zbMath1065.20013OpenAlexW1540062267MaRDI QIDQ4452270

Alexander S. Kleshchev, Pham Hũ'u Tiêp

Publication date: 12 February 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03364-6

zbMATH Keywords

finite groupsmaximal subgroupstensor productsalternating groupsrepresentation theoryalmost simple groupsdouble coversirreducible restrictionsfaithful modulesbasic spin modules

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Modular representations and characters (20C20) Projective representations and multipliers (20C25) Subgroups of symmetric groups (20B35) Multiply transitive finite groups (20B20)

Related Items (24)

Regular orbits of symmetric and alternating groups ⋮ Unnamed Item ⋮ On the irreducibility of symmetrizations of cross-characteristic representations of finite classical groups. ⋮ Cross-characteristic representations of \(\mathrm{Sp}_6(2^a)\) and their restrictions to proper subgroups. ⋮ Finite groups admitting Grassmannian 4-designs ⋮ On irreducible products of characters ⋮ Irreducible restrictions of representations of symmetric and alternating groups in small characteristics ⋮ Irreducible character restrictions to maximal subgroups of low-rank classical groups of types \(B\) and \(C\) ⋮ Irreducible tensor products for alternating groups in characteristic 2 ⋮ Some remarks on maximal subgroups of finite classical groups ⋮ Representation growth in positive characteristic and conjugacy classes of maximal subgroups. ⋮ Representation of finite groups: conjectures, reductions, and applications. ⋮ Monodromy groups of Kloosterman and hypergeometric sheaves ⋮ Subgroup structure and representations of finite and algebraic groups. ⋮ Modular branching rules for projective representations of symmetric groups and lowering operators for the supergroup 𝑄(𝑛) ⋮ Representation theory of symmetric groups and related Hecke algebras ⋮ Quotients of Calabi–Yau Varieties ⋮ Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems ⋮ Symmetric powers and a problem of Kollár and Larsen. ⋮ On a Construction of the Basic Spin Representations of Symmetric Groups ⋮ Irreducible tensor products for alternating groups in characteristic \(5\) ⋮ On the restriction of cross characteristic representations of \(^2F_4(q)\) to proper subgroups. ⋮ Irreducible tensor products of representations of covering groups of symmetric and alternating groups ⋮ The non-coprime \(k(GV)\) problem.

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