Classification of four and six dimensional Drinfel’d superdoubles

DOI10.1063/1.3467787zbMath1314.17012arXiv0911.1760OpenAlexW1978863761MaRDI QIDQ5253971

Farzaneh Heidarpour, A. Rezaei-Aghdam, Ali Eghbali

Publication date: 5 June 2015

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

Full work available at URL: https://arxiv.org/abs/0911.1760

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Lie bialgebras; Lie coalgebras (17B62)

Related Items (7)

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 ⋮ Yang-Baxter deformation of WZW model based on Lie supergroups: the cases of \(GL(1|1)\) and \((C^3 + A)\) ⋮ Super Poisson-Lie symmetry of the \(GL(1|1)\) WZNW model and worldsheet boundary conditions ⋮ 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

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• Classification of low-dimensional Lie super-bialgebras
• CLASSIFICATION OF SIX-DIMENSIONAL REAL DRINFELD DOUBLES
• Classification of two and three dimensional Lie superbialgebras
• Poisson-Lie \(T\)-duality and Bianchi type algebras

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