Quantum de Rham complex on 𝔸h1|2

DOI10.1142/S0219498820501777zbMath1469.16062arXiv1811.05679OpenAlexW2969735151WikidataQ114614575 ScholiaQ114614575MaRDI QIDQ5132359

Salih Celik

Publication date: 10 November 2020

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05679

zbMATH Keywords

differential calculusquantum supergroupsuper-Hopf algebraquantum superspaces

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative geometry in quantum theory (81R60) Deformations of associative rings (16S80)

Related Items (1)

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

Cites Work

• Multiparametric quantum deformation of the general linear supergroup
• Notes on quantum groups and quantum de Rham complexes
• Two-parametric extension of \(h\)-deformation of \(GL(1\mid 1)\)
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Differential calculi on super-Hopf algebra \(\mathsf{F}(\mathbb {R}_{q}(1|2))\)
• Bicovariant differential calculus on the quantum superspace ℝq(1|2)
• On the quantum differential calculus and the quantum holomorphicity
• Differential geometry of theq-superplane
• Differential calculus on the quantum superplane
• Jordanian deformation of SL(2) as a contraction of its Drinfeld-Jimbo deformation
• Differential calculus on the quantum superspace and deformation of phase space
• On the Contraction of Groups and Their Representations
• Covariant differential calculus on the quantum hyperplane
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