Differential calculus on the h-superplane

DOI10.1063/1.532438zbMath1006.46049arXivmath/0112124OpenAlexW2001540998MaRDI QIDQ4260485

Salih Celik, Sultan Abaci Celik, Metin Arik

Publication date: 8 December 2002

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

Full work available at URL: https://arxiv.org/abs/math/0112124

zbMATH Keywords

Yang-Baxter equations\(q\)-superplanenoncommutative differential calculus\(h\)-superplanesuper-Heisenberg algebra

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) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (5)

Noncommutative geometry of super-Jordanian OSph(2/1) covariant quantum space ⋮ Extended calculus on ${\cal O}({\mathbb C}_{h}^{1\vert1})$ ⋮ Gauss decomposition and nonstandard deformation of \(\mathrm{GL}(1|1)\) ⋮ Two-parameter differential calculus on the h-superplane ⋮ Left-covariant first order differential calculus on quantum Hopf supersymmetry algebra

Cites Work

• Multiparametric quantum deformation of the general linear supergroup
• The quantum de Rham complexes associated with \(SL_ h(2)\)
• Two-parametric extension of \(h\)-deformation of \(GL(1\mid 1)\)
• Some aspects of quantum groups and supergroups
• Covariant differential calculus on the quantum superplane and generalization of the Wess-Zumino formalism
• Differential calculi on the quantum group GL_p,q(2)
• Comment on the solutions of the graded Yang–Baxter equation

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