Eigenvalues of Casimir invariants of Uq (gl(m/n))
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Publication:4276814
DOI10.1063/1.530246zbMath0787.17013OpenAlexW2031830723MaRDI QIDQ4276814
Publication date: 23 May 1994
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530246
eigenvaluesCasimir invariantsirreducible highest weight representationsquantum supergroup \(U_ q(\text{gl}(m| n))\)
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie groups to the sciences; explicit representations (22E70)
Related Items
General eigenvalue formula for Casimir invariants of type I quantum superalgebras ⋮ Eigenvalues of Casimir invariants for type I quantum superalgebras ⋮ Invariants and reduced matrix elements associated with the Lie superalgebra gl(m|n) ⋮ Eigenvalues of Casimir invariants for Uq[osp(m∣n)]
Cites Work
- Universal \(R\)-matrix for quantized (super)algebras
- Serre-type relations for special linear Lie superalgebras
- Casimir invariants for Hopf algebras
- Eigenvalues of Casimir operators for the general linear and orthosymplectic Lie superalgebras
- Graded tensor calculus
- Casimir invariants and characteristic identities for generators of the general linear, special linear and orthosymplectic graded Lie algebras
- Generalized Gel’fand invariants and characteristic identities for quantum groups
- Universal R matrices and invariants of quantum supergroups
- Universal L operator and invariants of the quantum supergroup U q (gl(m/n))
