Algèbres enveloppantes quantifiées, groupes quantiques compacts de matrices et calcul différentiel non commutatif. (Quantized enveloping algebras, compact quantum matrix groups and noncommutative differential calculus)
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Publication:2640687
DOI10.1215/S0012-7094-90-06102-2zbMath0721.17013OpenAlexW1560847314MaRDI QIDQ2640687
Publication date: 1990
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-90-06102-2
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Cites Work
- Quantum orthogonal and symplectic groups and their embedding into quantum GL
- A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Compact matrix pseudogroups
- The Yang-Baxter equation and invariants of links
- 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
- Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
- Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
- Differential calculus on compact matrix pseudogroups (quantum groups)
- Analogues de la forme de Killing et du théorème d'Harish-Chandra pour les groupes quantiques
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