Eigenvalues of Casimir invariants of Uq (gl(m/n))

DOI10.1063/1.530246zbMath0787.17013OpenAlexW2031830723MaRDI QIDQ4276814

Ruibin Zhang, J. R. Links

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

zbMATH Keywords

eigenvaluesCasimir invariantsirreducible highest weight representationsquantum supergroup \(U_ q(\text{gl}(m| n))\)

Mathematics Subject Classification ID

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))