Classification of bicovariant differential calculi on quantum groups of type \(A, B, C\) and \(D\)
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Publication:1891628
DOI10.1007/BF02101539zbMath0835.17012OpenAlexW2057316046MaRDI QIDQ1891628
Konrad Schmüdgen, Axel Schüler
Publication date: 22 June 1995
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02101539
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Ring-theoretic aspects of quantum groups (16T20)
Related Items
Classification of bicovariant differential calculi on quantum groups, Left-covariant differential calculi on \(\mathrm{SL}_q(2)\) and \(\mathrm{SL}_q(3)\), On the noncommutative Riemannian geometry of GLq(n), Geometry of noncommutative algebraic principal bundles, Topology and noncommutative geometry. Transl. from the Russian, Differential Hopf algebras on quantum groups of type A, Left-covariant first order differential calculus on quantum Hopf supersymmetry algebra
Cites Work
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- Non-commutative differential geometry
- Quantum deformations of certain simple modules over enveloping algebras
- Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
- Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
- Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
- Differential calculus on quantized simple Lie groups
- Bicovariant differential calculi on \(S_ \mu U(2)\)
- A class of bicovariant differential calculi on Hopf algebras
- Differential calculus on compact matrix pseudogroups (quantum groups)
- Algèbres enveloppantes quantifiées, groupes quantiques compacts de matrices et calcul différentiel non commutatif. (Quantized enveloping algebras, compact quantum matrix groups and noncommutative differential calculus)
- Differential calculi on the quantum group GLp,q(2)
- Braids, Link Polynomials and a New Algebra
- Covariant differential calculus on the quantum hyperplane
