On the combinatorics of Kostant's partition function

DOI10.1016/0021-8693(85)90034-1zbMath0603.17005OpenAlexW2088230859MaRDI QIDQ1082419

Robert W. Deckhart

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90034-1

zbMATH Keywords

multiplicityrepresentationuniversal enveloping algebrasemisimple Lie algebracomplex semisimple Lie groupweight spacereduced root systemKostant's partition functionhighest weigthsum of positive nonsimple rootssum of simple roots

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (6)

Computing weight \(q\)-multiplicities for the representations of the simple Lie algebras ⋮ The Kostant cone and the combinatorial structure of the root lattice ⋮ Modular maximal vectors and the Kostant cone ⋮ The local Kostant-PBW ordering ⋮ The $q$-analog of Kostant's partition function and the highest root of the classical Lie algebras ⋮ Blocks in weight spaces in the root lattice

Cites Work

• Modular maximal vectors and the Kostant cone
• Introduction to Lie Algebras and Representation Theory
• Unnamed Item

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