Branching rules for representations of classical Lie groups

DOI10.1007/BF01017191zbMath0715.22025OpenAlexW2055437113WikidataQ115394627 ScholiaQ115394627MaRDI QIDQ752208

I. A. Filanovskij, Vladimir D. Lyakhovskiĭ

Publication date: 1990

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01017191

zbMATH Keywords

Weyl groupsrepresentationsLie algebrasbroken symmetrybranching ruleregular embeddingsgroup reductionroot diagram

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Lie algebras of Lie groups (22E60) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Cites Work

• Unnamed Item
• Branching rules and even-dimensional rotation groups SO_2k
• Character generators for elements of finite order in simple Lie groups A1, A2, A3, B2, and G2
• Standard Young tableaux and weight multiplicities of the classical Lie groups
• Young–tableau methods for Kronecker products of representations of the classical groups
• Branching rules for classical Lie groups using tensor and spinor methods