Differential calculi on the quantum superplane
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Publication:2365460
DOI10.1007/BF02085760zbMath0880.17007OpenAlexW2006304382MaRDI QIDQ2365460
A. El Hassouni, E. H. Tahri, Yassine Hassouni
Publication date: 11 February 1998
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02085760
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Noncommutative topology (46L85) Noncommutative differential geometry (46L87)
Related Items (3)
DIFFERENTIAL CALCULUS ON THE LOGARITHMIC EXTENSION OF THE QUANTUM 3D SPACE AND WEYL ALGEBRA ⋮ A two-parameter quantum \((2+1)\)-superspace and its deformed derivation algebra as Hopf superalgebra ⋮ HOPF ALGEBRA STRUCTURE OF (2+1)-DIMENSIONAL QUANTUM SUPERSPACE, ITS DUAL AND ITS DIFFERENTIAL CALCULUS
Cites Work
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- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Multiparametric quantum deformation of the general linear supergroup
- Differential calculus on compact matrix pseudogroups (quantum groups)
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- Diagonalisation of GL(N) invariant transfer matrices and quantum N-wave system (Lee model)
- Covariant differential calculus on the quantum superplane and generalization of the Wess-Zumino formalism
- On the quantum differential calculus and the quantum holomorphicity
- Multiparameter R-matrices and their quantum groups
- Differential calculus on the quantum superplane
- Comment on the differential calculus on quantum planes
- Differential calculus on the quantum superspace and deformation of phase space
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