Classification of low-dimensional Lie super-bialgebras

DOI10.1063/1.532504zbMath0927.17006arXivq-alg/9712015OpenAlexW3099920785WikidataQ59672971 ScholiaQ59672971MaRDI QIDQ4701692

C. Juszczak, Jan T. Sobczyk

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/q-alg/9712015

zbMATH Keywords

quantum groupssupergroupsLie super-bialgebraPoisson-Lie bracketsLie super-algebras

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) Lie bialgebras; Lie coalgebras (17B62)

Related Items (11)

Cosmological string backgrounds from super Poisson-Lie T-plurality ⋮ Lie superbialgebra structures on the Lie superalgebra C3+A and deformation of related integrable Hamiltonian systems ⋮ Noncommutative geometry of super-Jordanian OSph(2/1) covariant quantum space ⋮ Classical \(r\)-matrices of two- and three-dimensional Lie superbialgebras and their Poisson-Lie supergroups ⋮ Yang-Baxter deformations of WZW model on the Heisenberg Lie group ⋮ JORDANIAN QUANTUM SUPERALGEBRA U_h(osp(2/1)) ⋮ Classical r-matrices for the osp(2/2) Lie superalgebra ⋮ Lie Super-bialgebra Structures on Generalized Ramond N=2 Super-Virasoro Algebras ⋮ Drinfel’d superdoubles and Poisson–Lie T-plurality in low dimensions ⋮ Classification of two and three dimensional Lie superbialgebras ⋮ Classification of four and six dimensional Drinfel’d superdoubles

Cites Work

• Universal R-matrix of the quantum superalgebra osp(2\(| 1)\)
• A sketch of Lie superalgebra theory
• Lie superalgebras and Poisson-Lie supergroups
• Poisson structures on the Lorentz group
• Quantization of Lie bialgebras. I
• On the classification of quantum Poincaré groups
• Integrable electron model with correlated hopping and quantum supersymmetry.
• The quantum group of a nondegenerate bilinear form.
• Twist deformation of the rank-one Lie superalgebra
• Hopf superalgebra contractions and R-matrix for fermions
• Solving the two-dimensional constant quantum Yang–Baxter equation
• QuantumE(2) groups and Lie bialgebra structures
• Lie bialgebra quantizations of the oscillator algebra and their universalR-matrices
• Duals of quasitriangular Hopf superalgebras and the classical limit
• Quantum Poincare group related to the kappa -Poincare algebra
• Quantum deformation of the Poincare supergroup and kappa -deformed superspace
• Lie bi-algebra structures for centrally extended two-dimensional Galilei algebra and their Lie-Poisson counterparts

This page was built for publication: Classification of low-dimensional Lie super-bialgebras