Bicovariant differential calculus on the quantum superspace ℝq(1|2)

DOI10.1142/S0219498816501723zbMath1357.58007arXiv1509.05876OpenAlexW3098055167MaRDI QIDQ2816947

Salih Celik

Publication date: 26 August 2016

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

Full work available at URL: https://arxiv.org/abs/1509.05876

zbMATH Keywords

differential calculusdual Hopf algebraquantum supergroupsuper-Hopf algebraquantum superspace

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lie algebras of vector fields and related (super) algebras (17B66) Geometry of quantum groups (58B32) Quantum groups (quantized function algebras) and their representations (20G42) Ring-theoretic aspects of quantum groups (16T20)

Related Items (9)

A differential calculus on superspace \(\mathbb R_h(1|2)\) and related topics ⋮ On q- and h-deformations of 3d-superspaces ⋮ Right-covariant differential calculus on Hopf superalgebra \(\mathbb{F}(\mathbb{C}_q^{2|1})\) ⋮ Extended calculus on ${\cal O}({\mathbb C}_{h}^{1\vert1})$ ⋮ Covariant differential calculi on quantum symplectic superspace SPq1|2 ⋮ Unnamed Item ⋮ Quantum de Rham complex on 𝔸h1|2 ⋮ Double-graded quantum superplane ⋮ Differential calculi on super-Hopf algebra \(\mathsf{F}(\mathbb {R}_{q}(1|2))\)

Cites Work

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• Differential calculus on the quantum superplane
• Jordanian deformation of SL(2) as a contraction of its Drinfeld-Jimbo deformation
• Covariant differential calculus on the quantum hyperplane

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