OPERATOR FORMS OF THE CLASSICAL YANG–BAXTER EQUATION IN LIE SUPERALGEBRAS

DOI10.1142/S0219887810004452zbMath1201.17018MaRDI QIDQ3583049

Dongping Hou, Cheng-Ming Bai, Yan Wang

Publication date: 26 August 2010

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

Lie superalgebraclassical Yang-Baxter equationleft-symmetric superalgebraoperator formtensor form

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Yang-Baxter equations (16T25)

Related Items (2)

ON SOME LEFT-SYMMETRIC SUPERALGEBRAS ⋮ Rota-Baxter operators on pre-Lie superalgebras

Cites Work

• Bäcklund-Darboux transformation for classical Yang-Baxter bundles
• What is a classical r-matrix?
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Hamiltonian operators and infinite-dimensional Lie algebras
• \(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\)
• Universal R-matrices for quantum groups associated to simple Lie superalgebras
• On the defining relations of quantum superalgebras
• Quantized universal enveloping superalgebra of type \(Q\) and a super- extension of the Hecke algebra
• Lie superalgebras and Poisson-Lie supergroups
• Quantized enveloping algebras associated with simple Lie superalgebras and their universal \(R\)-matrices
• Dynamical symmetry of integrable quantum systems
• Constructing \(R\)-matrices on simple Lie superalgebras
• The cohomology structure of an associative ring
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• QUANTUM SUPERGROUPS AND SOLUTIONS OF THE YANG-BAXTER EQUATION
• Solutions of the graded classical Yang-Baxter equation and integrable models
• LIE BI-SUPERALGEBRAS AND THE GRADED CLASSICAL YANG-BAXTER EQUATION
• What a Classical r-Matrix Really Is
• A unified algebraic approach to the classical Yang–Baxter equation
• Lie superalgebras

This page was built for publication: OPERATOR FORMS OF THE CLASSICAL YANG–BAXTER EQUATION IN LIE SUPERALGEBRAS