Character calculations for semisimple Lie algebras

DOI10.1063/1.528584zbMath0658.17005OpenAlexW2009755734MaRDI QIDQ3807393

Lars Vretare

Publication date: 1989

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528584

zbMATH Keywords

algorithmsKronecker productssemisimple Lie algebrasbranching rulessymmetrized Kronecker powerscomputation of weight multiplicitiesrecursive calculation of characters

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)

Uses Software

• Turbo Pascal

Cites Work

• Characters of Elements of Finite Order in Lie Groups
• Semisimple subalgebras of semisimple Lie algebras
• Branching rules for irreducible representations of E₈into D₈
• Branching index sum rules for simple Lie algebras
• Aspects of the Exceptional Group E8
• Second and fourth indices of plethysms
• Fast recursion formula for weight multiplicities
• Embedding of a Simple Lie Group into a Simple Lie Group and Branching Rules

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