A projection based approach to the Clebsch-Gordan multiplicity problem for compact semisimple Lie groups: I. General formalism

DOI10.1088/0305-4470/19/9/022zbMath0612.22010OpenAlexW1987717306WikidataQ115293718 ScholiaQ115293718MaRDI QIDQ3752590

Stephen A. Edwards, Mark D. Gould

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1088/0305-4470/19/9/022

zbMATH Keywords

enveloping algebrairreducible representationssemisimple Lie grouptensor productWigner coefficientsproduct representationmultiplicity structurehighest weight vectorscomplexified Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46)

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