Algebraic structure of multiparameter quantum groups
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Publication:1354676
DOI10.1006/aima.1996.1612zbMath0878.17009arXivq-alg/9609021OpenAlexW2065094479MaRDI QIDQ1354676
Margarita Toro, Timothy J. Hodges, Thierry Levasseur
Publication date: 9 December 1997
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/q-alg/9609021
Hopf algebraDrinfeld doublesymplectic leavesprime spectrumprimitive spectrummultiparameter quantum group
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Cites Work
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- Algebras of functions on compact quantum groups, Schubert cells and quantum tori
- Quantum deformations of certain simple modules over enveloping algebras
- Poisson Lie groups, dressing transformations, and Bruhat decompositions
- Multi-parameter quantum groups related to link-diagrams
- Examples of compact matrix pseudogroups arising from the twisting operation
- Quantum groups and quantum determinants
- Primitive ideals of \({\mathbf C}_ q[SL(3)\)]
- Primitive ideals of \(\mathbb{C}_ q[SL(n)\)]
- On the prime and primitive spectra of the algebra of functions on a quantum group
- Quantum function algebra at roots of 1
- Multiparameter quantum function algebra at roots of 1
- Multiparameter quantum groups and twisted quasitriangular Hopf algebras
- Rings Graded by Polycyclic-by-Finite Groups
- Quantum deformations of GLn
- KILLING FORMS, HARISH-CHANDRA ISOMORPHISMS, AND UNIVERSAL R-MATRICES FOR QUANTUM ALGEBRAS
- Quantum double and multiparameter quantum groups
- Analogues de la forme de Killing et du théorème d'Harish-Chandra pour les groupes quantiques
- Dressing transformations and Poisson group actions
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