Spin Modules for Symmetric Groups
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Publication:3822377
DOI10.1112/jlms/s2-38.2.250zbMath0669.20005OpenAlexW2039528912MaRDI QIDQ3822377
Publication date: 1988
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/jlms/s2-38.2.250
partitionsSpecht modulessymmetric groupsalternating groupsirreducible modules2-modular irreducible representationsspin representationsdecomposition factors
Related Items (36)
Representations of the symmetric group which are irreducible over subgroups ⋮ Regular orbits of symmetric and alternating groups ⋮ On low-degree representations of the symmetric group ⋮ Basic spin representations of \(2\mathbb{S}_ n\) and \(2\mathbb{A}_ n\) as globally irreducible representations ⋮ Vertices of Low-Dimensional Simple Modules for Symmetric Groups ⋮ Brauer characters and normal Sylow \(p\)-subgroups ⋮ On 2-modular representations of the symmetric groups. ⋮ The 2-blocks of the covering groups of the symmetric groups ⋮ The quadratic type of the 2-principal indecomposable modules of the double covers of alternating groups ⋮ Spin characters of hyperoctahedral wreath products ⋮ Blocks of small defect in alternating groups and squares of Brauer character degrees ⋮ A note on vertices of indecomposable tensor products ⋮ Irreducible restrictions of representations of symmetric and alternating groups in small characteristics ⋮ Modular functions and resolvent problems (with an appendix by Nate Harman) ⋮ On \(p\)-parts of Brauer character degrees and \(p\)-regular conjugacy class sizes of finite groups ⋮ Irreducible tensor products for alternating groups in characteristic 2 ⋮ Irreducible representations of the alternating group in odd characteristic ⋮ Source algebras of blocks, sources of simple modules, and a conjecture of Feit. ⋮ Low-Dimensional Representations of Quasi-Simple Groups ⋮ Composition factors of 2-parts spin representations of symmetric groups ⋮ Irreducible tensor products for alternating groups in characteristics 2 and 3 ⋮ On vertices of simple modules for symmetric groups of small degrees. ⋮ On \(p\)-blocks of symmetric and alternating groups with all irreducible Brauer characters of prime power degree. ⋮ The duals of the 2-modular irreducible modules of the alternating groups ⋮ Representations of finite special linear groups in non-defining characteristic. ⋮ Self-conjugate \(t\)-core partitions, sums of squares, and \(p\)-blocks of \(A_n\) ⋮ Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems ⋮ On modular homology in the Boolean algebra. III ⋮ On the irreducible representations of the alternating group which remain irreducible in characteristic 𝑝 ⋮ The multistep homology of the simplex and representations of symmetric groups ⋮ The vertices and sources of the basic spin module for the symmetric group in characteristic 2. ⋮ A bijection for Euler's partition theorem in the spirit of Bressoud ⋮ Irreducible restrictions of representations of alternating groups in small characteristics: Reduction theorems ⋮ Branching of modular representations of the alternating groups ⋮ Connections between the representations of the symmetric groups and the symplectic group in characteristic \(2\) ⋮ The Vertices and Sources of the Natural Simple Module for the Alternating Group in Even Characteristic
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