A Geometric Realisation of the Lepowsky Bernstein Gelfand Gelfand Resolution

DOI10.2307/2159680zbMath0745.22011OpenAlexW4242547521MaRDI QIDQ3987581

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Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.2307/2159680

zbMATH Keywords

irreducible representationorbitssemisimple Lie groupgeneralized Verma moduleshighest weight moduleBernstein-Gelfand-Gelfand resolutionCousin complex

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46) Homological methods in Lie (super)algebras (17B55) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Local cohomology of analytic spaces (32C36)

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The weights of simple modules in category \(\mathcal{O}\) for Kac-Moody algebras ⋮ Transfer matrices of rational spin chains via novel BGG-type resolutions

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