\(h\)-deformation of GL\((1| 1)\)
From MaRDI portal
Publication:1816434
DOI10.1007/BF00398357zbMath0864.17022arXivq-alg/9511009OpenAlexW2084701516MaRDI QIDQ1816434
Preeti Parashar, Ludwik Dąbrowski
Publication date: 22 June 1997
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9511009
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative topology (46L85) Noncommutative differential geometry (46L87)
Related Items
A differential calculus on superspace \(\mathbb R_h(1|2)\) and related topics, DUALITY FOR MULTIPARAMETER QUANTUM DEFORMATION OF THE SUPERGROUP GL(m/n), Noncommutative geometry of super-Jordanian OSph(2/1) covariant quantum space, On q- and h-deformations of 3d-superspaces, Extended calculus on ${\cal O}({\mathbb C}_{h}^{1\vert1})$, Gauss decomposition and nonstandard deformation of \(\mathrm{GL}(1|1)\), The Hopf algebra structure of the Z3-graded quantum supergroup GLq,j(1∣1), A differential calculus on the (\(h, j\))-deformed \(\mathrm {Z}_3\)-graded superplane, Contraction of the Gr,s quantum group to its nonstandard analog and corresponding colored quantum groups, Two-parametric extension of h-deformation of Gr(1|1), Non-commutative Low-dimension Spaces and Superspaces Associated with Contracted Quantum Groups and Supergroups, Two-parameter differential calculus on the h-superplane
Cites Work
- Unnamed Item
- Two-parameter quantum deformation of \(\text{GL}(1| 1)\).
- A Hopf star-algebra of polynomials on the quantum \(SL(2,\mathbb{R})\) for a `unitary' \(R\)-matrix
- Quantum matrices in two dimensions
- A \(*\)-product on SL(2) and the corresponding nonstandard quantum- U\(({\mathfrak sl}(2))\)
- New quantum deformation of \(SL(2,\mathbb{C}{})\). Hopf algebra level
- The quantum de Rham complexes associated with \(SL_ h(2)\)
- THE TWO-PARAMETRIC EXTENSION OF h DEFORMATION OF GL(2), AND THE DIFFERENTIAL CALCULUS ON ITS QUANTUM PLANE
- The three-dimensional Euclidean quantum group E(3)q and its R-matrix
- Differential geometry of the quantum supergroupGL q (1/1)