Plethysm and Verma Modules

DOI10.1112/jlms/52.3.449zbMath0854.20053OpenAlexW2318434954MaRDI QIDQ4894518

Michel Brion

Publication date: 12 November 1996

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

Full work available at URL: https://doi.org/10.1112/jlms/52.3.449

zbMATH Keywords

decompositionsfiltrationsrepresentations of symmetric groupsmultiplicitiessymmetric powerscomplex semisimple Lie algebrasplethysmhighest weightssimple finite-dimensional modulesSchur functorsdominant weightsSchur powersdirect sums of Verma modules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Semisimple Lie groups and their representations (22E46) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items (1)

Effective constructions in plethysms and Weintraub's conjecture

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