The quantum super-Yangian and Casimir operators of \(U_ q{\mathfrak {gl}}(M| N)\)

DOI10.1007/BF00749628zbMath0835.17015arXivhep-th/9407135OpenAlexW2029204422MaRDI QIDQ1899862

Ruibin Zhang

Publication date: 16 April 1996

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

Full work available at URL: https://arxiv.org/abs/hep-th/9407135

zbMATH Keywords

Casimir operatorsquantum supergroup\(\mathbb{Z}_ 2\) graded Yangianquantum super-Yangian

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) Superalgebras (17A70)

Related Items

DUALITY FOR MULTIPARAMETER QUANTUM DEFORMATION OF THE SUPERGROUP GL(m/n), Unnamed Item, The \(gl(M| N)\) super Yangian and its finite-dimensional representations, Representations of super Yangian, On boundary superalgebras

Cites Work

• Quantum Berezinian and the classical Capelli identity
• Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
• A new interpretation of Gelfand-Tsetlin bases
• Trigonometric solutions of triangle equations. Simple Lie superalgebras
• Yangians and Gelfand-Zetlin bases
• 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))
• Yangians and classical Lie algebras