Classification of two and three dimensional Lie superbialgebras

DOI10.1063/1.3451105zbMath1311.17010arXiv0901.4471OpenAlexW3104276859MaRDI QIDQ5251829

A. Rezaei-Aghdam, Farzaneh Heidarpour, Ali Eghbali

Publication date: 21 May 2015

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

Full work available at URL: https://arxiv.org/abs/0901.4471

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Lie bialgebras; Lie coalgebras (17B62) Coadjoint orbits; nilpotent varieties (17B08)

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 ⋮ Classical \(r\)-matrices of two- and three-dimensional Lie superbialgebras and their Poisson-Lie supergroups ⋮ Classification of real low-dimensional Jacobi (generalized)–Lie bialgebras ⋮ Super Poisson-Lie symmetry of the \(GL(1|1)\) WZNW model and worldsheet boundary conditions ⋮ Yang-Baxter deformations of WZW model on the Heisenberg Lie group ⋮ Classification of four-dimensional real Lie bialgebras of symplectic type and their Poisson-Lie groups ⋮ Solution of the equations of motion for a super non-abelian sigma model in curved background by the super Poisson-Lie T-duality ⋮ String cosmology from Poisson-Lie T-dual sigma models on supermanifolds ⋮ WZW models as mutual super Poisson-Lie T-dual sigma models ⋮ Classification of four and six dimensional Drinfel’d superdoubles

Cites Work

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• Quantization of Lie bialgebras. II, III
• Lie superalgebras and Poisson-Lie supergroups
• Classification of three-dimensional Lie bialgebras
• A classification of four-dimensional Lie superalgebras
• Classification of real three-dimensional Lie bialgebras and their Poisson–Lie groups
• Classification of low-dimensional Lie super-bialgebras
• Poisson-Lie \(T\)-duality
• Poisson-Lie \(T\)-duality and Bianchi type algebras
• Classification of Manin triples for complex reductive Lie algebras. (With an appendix by Guillaume Macey)

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