Covariant differential calculi on quantum symplectic superspace SPq1|2

DOI10.1063/1.4975924zbMath1360.81215arXiv1607.02491OpenAlexW3105591176MaRDI QIDQ2968454

Salih Celik

Publication date: 13 March 2017

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

Full work available at URL: https://arxiv.org/abs/1607.02491

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) Superalgebras (17A70) Analysis on supermanifolds or graded manifolds (58C50) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

Related Items (8)

Right-covariant differential calculus on Hopf superalgebra \(\mathbb{F}(\mathbb{C}_q^{2|1})\) ⋮ \(\mathrm{GL}_{r,s}(n)\)-covariant differential calculi on the quantum \(n\)-space ⋮ Extended calculus on ${\cal O}({\mathbb C}_{h}^{1\vert1})$ ⋮ Gauss decomposition and nonstandard deformation of \(\mathrm{GL}(1|1)\) ⋮ Unnamed Item ⋮ Hopf algebra structure on superspace $\text{SP}_q^{2|1}$ ⋮ Covariant differential calculus on SP2j1 ⋮ Left-covariant first order differential calculus on quantum Hopf supersymmetry algebra

Cites Work

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• Non-commutative differential geometry
• Compact matrix pseudogroups
• Multiparametric quantum deformation of the general linear supergroup
• The group with Grassmann structure UOSP(1.2)
• Integrable quantum field theories with supergroup symmetries: the OSP(1/2) case
• New quantum deformation of \(\text{OSp}(1;2)\)
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Bicovariant differential calculus on the quantum superspace ℝq(1|2)
• Quantum spheres for OSpq(1∕2)
• Elementary construction of graded Lie groups
• 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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