Tilting modules for classical groups and Howe duality in positive characteristic

DOI10.1007/BF02587733zbMath0857.20018MaRDI QIDQ1924186

Yanyan Li

Publication date: 3 March 1997

Published in: Transformation Groups (Search for Journal in Brave)

zbMATH Keywords

relationstilting modulesderived categoriesgeneratorsWeyl modulesactionsinduced modulesreductive dual pairsExt groupsalgebra of invariantsdominant weightscategory of rational modulesseries of classical groups

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Module categories in associative algebras (16D90) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30)

Related Items

Schur–Weyl Dualities Old and New, On character formulas for simple and tilting modules, Skew Howe duality and limit shapes of Young diagrams, Schur algebras of Brauer algebras. II., The Brauer algebra and the symplectic Schur algebra, Invariants of \(\mathrm G_2\) and Spin(7) in positive characteristic, Character formulas of irreducible representations of the symplectic group in prime characteristic

Cites Work

• Derived categories and Morita theory
• On Schur algebras and related algebras. I
• A characteristic free approach to invariant theory
• On tilting modules for algebraic groups
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• The weyl modules and the irreducible representations of the symplectic group with the fundamental highest weights
• Remarks on Classical Invariant Theory
• Filtrations of $G$-modules
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item