DIFFERENTIAL CALCULUS AND CONNECTIONS ON A QUANTUM PLANE AT A CUBIC ROOT OF UNITY
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Publication:4519836
DOI10.1142/S0129055X00000095zbMath0959.58004arXivmath-ph/9807012OpenAlexW2962957259MaRDI QIDQ4519836
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Publication date: 4 December 2000
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/9807012
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Geometry of quantum groups (58B32)
Related Items (11)
Deformed commutators on quantum group module-algebras ⋮ DIFFERENTIAL CALCULUS ON THE LOGARITHMIC EXTENSION OF THE QUANTUM 3D SPACE AND WEYL ALGEBRA ⋮ d 3 =0, d2=0 differential calculi on certain noncommutative (super) spaces ⋮ Semi-commutative Galois Extension and Reduced Quantum Plane ⋮ A two-parameter quantum \((2+1)\)-superspace and its deformed derivation algebra as Hopf superalgebra ⋮ On a graded q-differential algebra ⋮ Quantum \(sl(2)\) action on a divided-power quantum plane at even roots of unity ⋮ Symmetries and strings of adjoint \(\mathrm{QCD}_2\) ⋮ A differential \({\mathcal U}\)-module algebra for \({\mathcal U}= \overline{\mathcal U}_{q}s\ell (2)\) at an even root of unity ⋮ Hopf stars, twisted Hopf stars and scalar products on quantum spaces ⋮ GAUGE THEORY ON A FOUR-DIMENSIONAL QUANTUM SPACE
Cites Work
- Gravity coupled with matter and the foundation of non-commutative geometry
- Noncommutative geometry and theoretical physics
- Twisted second quantization
- Compact matrix pseudogroups
- Differential operators on quantum spaces for \(GL_ q(n)\) and \(SO_ q(n)\)
- On the finite-dimensional quantum group \(M_3\oplus (M_{2\mid 1}(\Lambda^2))_0\)
- Classical bosons in a non-commutative geometry
- A FINITE QUANTUM SYMMETRY OF $M(3, {\Bbb C})$
- QUANTUM MECHANICS OVER A q-DEFORMED (0 + 1)-DIMENSIONAL SUPERSPACE
- NONCOMMUTATIVE GEOMETRY AND GRADED ALGEBRAS IN ELECTROWEAK INTERACTIONS
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