Two-parametric extension of h-deformation of Gr(1|1)

DOI10.1063/1.532747zbMath0961.81032OpenAlexW1541129024MaRDI QIDQ4701908

E. Hızel, Salih Celik, Sultan Abaci Celik

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532747

zbMATH Keywords

contractionsupergroupHopf algebra structuretwo-parametric quantum deformationquantum superdeterminantalgebra of coordinate functionstwo parametric Jordanian deformation

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)

Cites Work

• Multiparametric quantum deformation of the general linear supergroup
• A Hopf star-algebra of polynomials on the quantum \(SL(2,\mathbb{R})\) for a `unitary' \(R\)-matrix
• Quantum matrices in two dimensions
• A \(*\)-product on SL(2) and the corresponding nonstandard quantum- U\(({\mathfrak sl}(2))\)
• New quantum deformation of \(SL(2,\mathbb{C}{})\). Hopf algebra level
• The quantum de Rham complexes associated with \(SL_ h(2)\)
• Two-parametric extension of \(h\)-deformation of \(GL(1\mid 1)\)
• \(h\)-deformation of GL\((1| 1)\)
• THE TWO-PARAMETRIC EXTENSION OF h DEFORMATION OF GL(2), AND THE DIFFERENTIAL CALCULUS ON ITS QUANTUM PLANE
• The quantum group GL_h(2)
• h-deformation ofGr(2)
• Jordanian deformation of SL(2) as a contraction of its Drinfeld-Jimbo deformation
• Two parameter deformation of Grassmann matrix group and supergroup

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