A differential calculus on superspace \(\mathbb R_h(1|2)\) and related topics

DOI10.1007/s00006-016-0672-zzbMath1406.58004OpenAlexW2342109104MaRDI QIDQ2361368

Fatma Bulut, Salih Celik

Publication date: 30 June 2017

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-016-0672-z

zbMATH Keywords

differential calculussuper Heisenberg Lie algebra\(h\)-deformed quantum supergroup\(h\)-deformed superspace

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative geometry in quantum theory (81R60) Geometry of quantum groups (58B32) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (1)

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

Cites Work

• Unnamed Item
• Multiparametric quantum deformation of the general linear supergroup
• Differential calculus on compact matrix pseudogroups (quantum groups)
• \(h\)-deformation of GL\((1| 1)\)
• Bicovariant differential calculus on the quantum superspace ℝq(1|2)
• Differential geometry of theq-superplane
• Differential calculus on the quantum superplane
• Jordanian deformation of SL(2) as a contraction of its Drinfeld-Jimbo deformation
• Noncommutative geometry of super-Jordanian OSph(2/1) covariant quantum space
• Differential calculus on the quantum superspace and deformation of phase space
• Lie superalgebras
• Covariant differential calculus on the quantum hyperplane

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