On complexes relating the Jacobi-Trudi identity with the Bernstein- Gelfand-Gelfand resolution. II

DOI10.1016/0021-8693(92)90039-OzbMath0794.20052MaRDI QIDQ1204401

Kaan Akin

Publication date: 28 March 1993

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

Jacobi-Trudi identityboundary mapscomplexes of \(GL_ n(K)\)-modulesShapovalov elementssubcomplexes

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Universal enveloping (super)algebras (17B35) Lie algebras of linear algebraic groups (17B45)

Related Items (3)

Homotopies for resolutions of skew-hook shapes. ⋮ The multiset partition algebra ⋮ A note on the Poincaré resolution of the coordinate ring of the Grassmannian

Cites Work

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• Resolutions, dual pairs, and character formulas
• On complexes relating the Jacobi-Trudy identity with the Bernstein- Gelfand-Gelfand resolution
• Characteristic-free representation theory of the general linear group. II: Homological considerations
• On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra

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