On Schur algebras and related algebras III: integral representations

DOI10.1017/S0305004100072376zbMath0832.20012MaRDI QIDQ4312716

Stephen Donkin

Publication date: 1 January 1995

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

symmetric groupsprojective modulesreductive groupsinduced modulesdominant weightsgeneralized Schur algebrashyperalgebrasgeneral linear group schemesWeyl filtrations over Dedekind domains

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Integral representations of infinite groups (20C12)

Related Items (6)

Presenting generalized Schur algebras in types \(B\), \(C\), \(D\). ⋮ Schur algebras and global bases: New proofs of old vanishing theorems ⋮ Polynomial representations, algebraic monoids, and Schur algebras of classical type ⋮ On Schur algebras and related algebras. VI: Some remarks on rational and classical Schur algebras. ⋮ Cellular bases of generalised q-Schur algebras ⋮ Schur Algebras of Classical Groups II

Cites Work

• On Schur algebras and related algebras. I
• On Schur algebras and related algebras. II
• Cohomology, hyperalgebras, and representations
• A filtration for rational modules
• Ordinary and modular representations of Chevalley groups
• Injective modules for restricted enveloping algebras
• Simply Connected Groups, the Hyperalgebra, and Verma's Conjecture
• Representations of Algebraic Groups
• A Hopf Algebra Freeness Theorem
• Hopf Complements and Injective Comodules for Algebraic Groups
• Divisibility of Projective Modules of Finite Chevalley Groups by the Steinberg Module

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