Some new generating functions for weight multiplicities

DOI10.1016/0019-3577(95)91239-RzbMath0839.17003OpenAlexW2021885103MaRDI QIDQ1897540

Dragomir Ž. Djoković

Publication date: 9 October 1995

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(95)91239-r

zbMATH Keywords

generating functionsimple modulessoftware packageexplicit computationsweight multiplicitiesformal characterscomplex semisimple Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04)

Related Items (3)

Generating functions and multiplicity formulas: The case of rank two simple Lie algebras ⋮ Generating functions for characters and weight multiplicities of irreducible 𝓈𝓁(4)-modules ⋮ On the generating function of weight multiplicities for the representations of the Lie algebra C2

Cites Work

• Characters of the Weyl group of SU(n) on zero weight spaces and centralizers of permutation representations
• Fast recursion formula for weight multiplicities
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