On q- and h-deformations of 3d-superspaces

DOI10.3906/mat-1907-80OpenAlexW2901241677MaRDI QIDQ5100208

Salih Celik

Publication date: 29 August 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05682

zbMATH Keywords

quantum supergroupquantum Lie superalgebraHopf superalgebraquantum superspacesuper \(\star\)-algebra

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Supersymmetry and quantum mechanics (81Q60) Applications of Lie algebras and superalgebras to integrable systems (17B80) Formal methods and deformations in algebraic geometry (14D15) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60) Yang-Baxter equations (16T25)

Related Items (1)

Gauss decomposition and nonstandard deformation of \(\mathrm{GL}(1|1)\)

Cites Work

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• Multiparametric quantum deformation of the general linear supergroup
• Two-parametric extension of \(h\)-deformation of \(GL(1\mid 1)\)
• Differential calculus on compact matrix pseudogroups (quantum groups)
• \(h\)-deformation of GL\((1| 1)\)
• Differential calculi on super-Hopf algebra \(\mathsf{F}(\mathbb {R}_{q}(1|2))\)
• Bicovariant differential calculus on the quantum superspace ℝq(1|2)
• The quantum group GL_h(2)
• Jordanian deformation of SL(2) as a contraction of its Drinfeld-Jimbo deformation

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