Local Quasitriangular Hopf Algebras

We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitriangular Hopf algebras. Using these Hopf algebras, we obtain solutions of the Yang-Baxter equation in a systematic way. The category of modules with finite cycles over a local quasitriangular Hopf alge...

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Datum:2008
Hauptverfasser: Zhang, S., Gould, M.D., Zhang, Yao-Zhong
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2008
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Local Quasitriangular Hopf Algebras / S. Zhang, M.D. Gould, Yao-Zhong Zhang // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 17 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
Beschreibung
Zusammenfassung:We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitriangular Hopf algebras. Using these Hopf algebras, we obtain solutions of the Yang-Baxter equation in a systematic way. The category of modules with finite cycles over a local quasitriangular Hopf algebra is a braided tensor category.