The decomposition of tensors over fields of prime characteristic

DOI10.1007/BF01182401zbMath0438.20008OpenAlexW2010336228MaRDI QIDQ1141742

Gordon D. James

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172955

zbMATH Keywords

general linear groupssymmetric groupssimple modulesWeyl moduleSpecht moduletensor spacepoint distributions

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20)

Related Items (23)

A theorem on decomposition numbers ⋮ Universality of high-strength tensors ⋮ Representations of finite groups ⋮ On 2-modular representations of the symmetric groups. ⋮ A new parametrisation of tilting modules for \(\text{GL}(3,k)\) over characteristic 2. ⋮ Fayers’ conjecture and the socles of cyclotomic Weyl modules ⋮ Reduced unstable $A$-modules and the modular representation theory of the symmetric groups ⋮ Foulkes modules and decomposition numbers of the symmetric group. ⋮ Cohomology of line bundles on the incidence correspondence ⋮ Truncated symmetric powers and modular representations of GL_n ⋮ Some decomposition numbers for Hecke algebras of general linear groups ⋮ Connectedness of cup products for polynomial representations of \(\mathrm{GL}_n\) and applications ⋮ Extensions, Levi subgroups and character formulas. ⋮ Condensation of symmetrized tensor powers ⋮ Schur and weyl functors, II ⋮ The rational Schur algebra ⋮ Modular Schur Functions ⋮ The image of the Specht module under the inverse Schur functor in arbitrary characteristic ⋮ Schur functors and dominant dimension ⋮ On the socle of Weyl modules ⋮ The structure of the tensor product of \(\mathbb{F}_2[-\) with a finite functor between \(\mathbb{F}_2\)-vector spaces] ⋮ Trivial source modules for symmetric groups ⋮ Iwahori-Hecke algebras of type \(A\) at roots of unity

Cites Work

• Unnamed Item
• The determinant of the Gram matrix for a Specht module
• On the modular representations of the general linear and symmetric groups
• The representation theory of the symmetric groups
• Irreducible modular representations of finite Chevalley groups
• On a conjecture of Carter concerning irreducible Specht modules
• Modular representations of symmetric groups

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