Schur-Weyl duality over finite fields.

DOI10.1007/s00013-009-0066-8zbMath1210.20039arXiv0805.1235OpenAlexW2047648625MaRDI QIDQ1042434

Stephen R. Doty, David John Benson

Publication date: 14 December 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.1235

zbMATH Keywords

general linear groupssymmetric groupsfinite fieldsSchur-Weyl dualityKostant \(\mathbb{Z}\)-form

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05)

Related Items (9)

Integral Schur-Weyl duality for partition algebras ⋮ \(\mathrm{SL}_2\) tilting modules in the mixed case ⋮ A new generalized Schur-Weyl duality ⋮ A Basis Theorem for the Degenerate Affine Oriented Brauer–Clifford Supercategory ⋮ Asymptotic codimensions of \(M_k(E)\) ⋮ Polynomial representations of \(\mathrm{GL}(n)\) and Schur-Weyl duality. ⋮ Schur–Weyl duality over commutative rings ⋮ Characteristic-free resolutions of Weyl and Specht modules. ⋮ Schur-Weyl duality and the free Lie algebra

Cites Work

• Lie powers of infinite-dimensional modules
• On the modular representations of the general linear and symmetric groups
• A characteristic free approach to invariant theory
• Cohomology of finite group schemes over a field
• General linear and functor cohomology over finite fields
• On the decomposition of modular tensors. I, II

This page was built for publication: Schur-Weyl duality over finite fields.