Polynomial representations of the orthogonal groups

DOI10.1007/BF00047159zbMath0595.22018OpenAlexW2017011266MaRDI QIDQ1077558

Tuong Ton-That, William H. Klink

Publication date: 1986

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00047159

zbMATH Keywords

algorithmorthogonal groupirreducible representationspolynomial representationspolynomial basesinvariant differentiation inner productGelfand-Zetlin labelsWeyl's branching theorem

Mathematics Subject Classification ID

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) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Applications of group representations to physics and other areas of science (20C35)

Related Items (1)

Polynomial representations of the symplectic groups

Cites Work

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• Finite Dimensional Induction and New Results on Invariants for Classical Groups, I

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