Orbit–orbit branching rules between simple low-rank algebras and equal-rank subalgebras

DOI10.1063/1.529687zbMath0756.17003OpenAlexW2010919918MaRDI QIDQ4019991

R. T. Sharp, F. Gingras, Jirí Patera

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1063/1.529687

zbMATH Keywords

generating functionsirreducible representationssemisimple Lie algebradecomposition rulesWeyl orbitsorbit-orbit branching rules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (4)

Orbit–orbit branching rules between classical simple Lie algebras and maximal reductive subalgebras ⋮ Orbit–orbit branching rules for families of classical Lie algebra–subalgebra pairs ⋮ Reduction of orbits of finite Coxeter groups of non-crystallographic type ⋮ Discrete and continuous cosine transform generalized to Lie groups SU(2)×SU(2) and O(5)

Cites Work

• Fast computation of weight multiplicities
• Semisimple subalgebras of semisimple Lie algebras
• Fast recursion formula for weight multiplicities
• Branching rules for representations of simple Lie algebras through Weyl group orbit reduction

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