Extended calculus on ${\cal O}({\mathbb C}_{h}^{1\vert1})$
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Publication:6117907
DOI10.55730/1300-0098.3456MaRDI QIDQ6117907
Publication date: 21 February 2024
Published in: Turkish Journal of Mathematics (Search for Journal in Brave)
contractiondifferential calculusLie derivativesinner derivationsCartan calculus\(h\)-deformationquantum superplane
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Superalgebras (17A70) Noncommutative geometry in quantum theory (81R60)
Cites Work
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- Multiparametric quantum deformation of the general linear supergroup
- A Hopf star-algebra of polynomials on the quantum \(SL(2,\mathbb{R})\) for a `unitary' \(R\)-matrix
- Quantum matrices in two dimensions
- Differential geometry on linear quantum groups
- The quantum de Rham complexes associated with \(SL_ h(2)\)
- Two-parametric extension of \(h\)-deformation of \(GL(1\mid 1)\)
- \(h\)-deformation of GL\((1| 1)\)
- Double-graded quantum superplane
- DIFFERENTIAL CALCULI ON h-DEFORMED BOSONIC AND FERMIONIC QUANTUM PLANES
- THE TWO-PARAMETRIC EXTENSION OF h DEFORMATION OF GL(2), AND THE DIFFERENTIAL CALCULUS ON ITS QUANTUM PLANE
- Bicovariant differential calculus on the quantum superspace ℝq(1|2)
- Covariant differential calculi on quantum symplectic superspace SPq1|2
- Cartan calculi on the quantum superplane
- Differential geometry of theq-superplane
- Differential calculus on the h-superplane
- Comment on the solutions of the graded Yang–Baxter equation
- Differential geometry of the Z3-graded quantum superplane
- Two-parameter differential calculus on the h-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
- Left-covariant first order differential calculus on quantum Hopf supersymmetry algebra
- Covariant differential calculus on the quantum hyperplane
