New expressions for the invariant operators of the unitary groups

DOI10.1007/BF01028235zbMath0412.22019OpenAlexW2062419486MaRDI QIDQ1260201

Viktor Popov

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1007/bf01028235

zbMATH Keywords

irreducible representationunitary groupCasimir operatorspower sumseigenvalues of the invariant operators

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Analysis on real and complex Lie groups (22E30) Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items

Descriptions of strongly multiplicity free representations for simple Lie algebras ⋮ New expressions for the eigenvalues of the invariant operators of O(N) and Sp(2n) ⋮ New expressions for the eigenvalues of the invariant operators of the general linear and the orthosymplectic Lie superalgebras ⋮ Representations of classical Lie groups and quantized free convolution

Cites Work

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• Algebraic identities among U (n) infinitesimal generators
• Unitary Groups: Representations and Decompositions
• Construction of invariants for simple lie groups
• Canonical Unit Adjoint Tensor Operators in U(n)