New expressions for the eigenvalues of the invariant operators of the general linear and the orthosymplectic Lie superalgebras
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Publication:3686855
DOI10.1063/1.526857zbMath0569.17001OpenAlexW2025760172MaRDI QIDQ3686855
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Publication date: 1985
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526857
eigenvaluesCasimir operatorsgeneral linear Lie superalgebraorthosymplectic Lie superalgebrasspecial linear Lie superalgebrasgraded power sums
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Superalgebras (17A70)
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Cites Work
- New expressions for the invariant operators of the unitary groups
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- Eigenvalues of Casimir operators for the general linear, the special linear, and the orthosymplectic Lie superalgebras
- New expressions for the eigenvalues of the invariant operators of O(N) and Sp(2n)
- Fourth degree Casimir operator of the semisimple graded Lie algebra (Sp(2N); 2N)
- Casimir invariants and characteristic identities for generators of the general linear, special linear and orthosymplectic graded Lie algebras
- Dimension and character formulas for Lie supergroups
- Algebraic identities among U (n) infinitesimal generators
- Eigenvalues of the Casimir operators of the orthogonal and symplectic groups
- Generating functions for the eigenvalues of the Casimir operators of the orthogonal and symplectic groups
- Anomalies and eigenvalues of Casimir operators for Lie groups and supergroups
- Canonical Unit Adjoint Tensor Operators in U(n)