Eigenvalues of the invariant operators of the orthogonal and symplectic groups

DOI10.1063/1.522676zbMath0308.22021OpenAlexW2083822323MaRDI QIDQ4065739

Hsin-Yang Yeh, M. K. F. Wong

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1063/1.522676

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Applications of linear algebraic groups to the sciences (20G45)

Related Items (11)

Casimir invariants and infinitesimal characters for semi-simple Lie algebras ⋮ Invariant operators of IU(n) and IO(n) and their eigenvalues ⋮ Unnamed Item ⋮ Eigenvalues of invariants of U(n) and SU(n) ⋮ Eigenvalues of the Casimir operators of the orthogonal and symplectic groups ⋮ Modified fourth-order Casimir invariants and indices for simple Lie algebras ⋮ Generating functions for the eigenvalues of the Casimir operators of the orthogonal and symplectic groups ⋮ Casimir invariants and vector operators in simple and classical Lie algebras ⋮ Lowering and raising operators of IU(n) and IO(n) and their normalization constants ⋮ New expressions for the eigenvalues of the invariant operators of O(N) and Sp(2n) ⋮ GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS

Cites Work

• Unitary representations of SO(n, 1)
• A new system of Casimir operators for U(n)
• S Theorem and Construction of the Invariants of the Semisimple Compact Lie Algebras
• Construction of invariants for simple lie groups
• Representations of the Orthogonal Group. I. Lowering and Raising Operators of the Orthogonal Group and Matrix Elements of the Generators
• Spectrum of Casimir Invariants for the Simple Classical Lie Groups
• Canonical Unit Adjoint Tensor Operators in U(n)
• On the Eigenvalues of the Invariant Operators of the Unitary Unimodular Group SU(n)
• Unit Adjoint Tensor Operators in SO(n)

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