Classical r-matrices for the osp(2/2) Lie superalgebra

DOI10.1063/1.533243zbMath0998.17025OpenAlexW2083408985WikidataQ59708567 ScholiaQ59708567MaRDI QIDQ2737935

C. Juszczak

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533243

zbMATH Keywords

REDUCELie superbialgebraLie supercoalgebrasuper Lie bialgebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Lie bialgebras; Lie coalgebras (17B62)

Related Items (3)

Lie superbialgebra structures on the Lie superalgebra C3+A and deformation of related integrable Hamiltonian systems ⋮ Yang-Baxter deformations of WZW model on the Heisenberg Lie group ⋮ Classical r-matrices for the osp(2/2) Lie superalgebra

Cites Work

• Quantum superalgebra \(U_q\mathrm{osp}(2,2)\)
• Lie superalgebras and Poisson-Lie supergroups
• Poisson structures on the Lorentz group
• Quantization of geometric classical \(r\)-matrices
• Drinfeld twist for two-parametric deformation of \(gl(2)\) and \(sl(1/2)\)
• Quantization of Lie bialgebras. I
• Classical r-matrices for the osp(2/2) Lie superalgebra
• Multiparametric quantumgl(2): Lie bialgebras, quantumR-matrices and non-relativistic limits
• Classification of low-dimensional Lie super-bialgebras
• Classical and quantum sl(1‖2) superalgebras, Casimir operators and quantum chain Hamiltonians
• U_qosp(2,2) lattice models
• Lie superalgebras

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