Complex quantum group, dual algebra and bicovariant differential calculus
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Publication:1210092
DOI10.1007/BF02097024zbMath0779.17008MaRDI QIDQ1210092
Ursula Carow-Watamura, Satoshi Watamura
Publication date: 16 May 1993
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
bicovariant bimodules\(R\)-matrixbicovariant differential calculusquantum spacecomplex quantum group\(^*\)-Hopf algebra
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative topology (46L85) Noncommutative differential geometry (46L87)
Related Items (7)
Complex quantum enveloping algebras as twisted tensor products ⋮ More on quantum groups from the quantization point of view ⋮ Double quantum groups and Iwasawa decomposition ⋮ De Rham complexes of q-analog of general linear group GLq(N) ⋮ q-deformed Chern characters for quantum groups SUq(N) ⋮ Left-covariant first order differential calculus on quantum Hopf supersymmetry algebra ⋮ Quantum deformation of BRST algebra
Cites Work
- Differential calculus on quantum spheres
- Quantum deformation of Lorentz group
- Twisted second quantization
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- Compact matrix pseudogroups
- Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
- Differential calculus on quantized simple Lie groups
- Differential calculus on compact matrix pseudogroups (quantum groups)
- Noncommutative differential geometry on the quantum \(\text{SU}(2)\). I: An algebraic viewpoint
- Algèbres enveloppantes quantifiées, groupes quantiques compacts de matrices et calcul différentiel non commutatif. (Quantized enveloping algebras, compact quantum matrix groups and noncommutative differential calculus)
- Algebra of constraints for a string in curved background
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