Eigenvalues of Casimir operators for the general linear and orthosymplectic Lie superalgebras

DOI10.1063/1.525647zbMath0525.17001OpenAlexW2041391486MaRDI QIDQ3039519

A. M. Bincer

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525647

zbMATH Keywords

orthosymplectic superalgebrageneral linear Lie superalgebrasRacah basis

Mathematics Subject Classification ID

Superalgebras (17A70)

Related Items

General eigenvalue formula for Casimir invariants of type I quantum superalgebras, Eigenvalues of Casimir invariants of Uq (gl(m/n)), Eigenvalues of Casimir invariants for type I quantum superalgebras, Invariant supersymmetric multilinear forms and the Casimir elements of P-type Lie superalgebras, Universal L operator and invariants of the quantum supergroup U q (gl(m/n)), Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n), An explicit construction of Casimir operators and eigenvalues. I, Irreducible *-representations of Lie superalgebras B(0,n) with finite-degenerated vacuum, Eigenvalues of Casimir invariants for Uq[osp(m∣n)], New expressions for the eigenvalues of the invariant operators of the general linear and the orthosymplectic Lie superalgebras

Cites Work

• Casimir invariants and characteristic identities for generators of the general linear, special linear and orthosymplectic graded Lie algebras
• Eigenvalues of the Casimir operators of the orthogonal and symplectic groups
• Casimir invariants and vector operators in simple and classical Lie algebras
• Canonical Unit Adjoint Tensor Operators in U(n)