LIE BI-SUPERALGEBRAS AND THE GRADED CLASSICAL YANG-BAXTER EQUATION

DOI10.1142/S0129055X91000084zbMath0760.17010OpenAlexW1987990094MaRDI QIDQ3988930

A. J. Bracken, Ruibin Zhang, Mark D. Gould

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1142/s0129055x91000084

zbMATH Keywords

quantum groupsclassical limitclassical \(r\)-matrixLie bi-superalgebrasdouble bi-algebrasDrinfeld's quantum double method

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)

Related Items (12)

On associative superalgebras of matrices. ⋮ Invariant bilinear forms on Leibniz superalgebras ⋮ Universal R matrix of Uqsl(n,m) quantum superalgebras ⋮ Quadratic Lie superalgebras with the completely reducible action of the even part of the odd part ⋮ Some remarks on quantized Lie superalgebras of classical type ⋮ Quadratic Lie superalgebras generalized by Balinsky-Novikov superalgebras ⋮ Quantized universal enveloping superalgebra of type \(Q\) and a super- extension of the Hecke algebra ⋮ ON SOME LEFT-SYMMETRIC SUPERALGEBRAS ⋮ OPERATOR FORMS OF THE CLASSICAL YANG–BAXTER EQUATION IN LIE SUPERALGEBRAS ⋮ Quadratic symplectic Lie superalgebras and Lie bi-superalgebras ⋮ Manin triples and non-degenerate anti-symmetric bilinear forms on Lie superalgebras in characteristic 2 ⋮ Double extension of quadratic lie superalgebras

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