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The book delves into advanced concepts of quantum groups, focusing on the construction of Rq[G] through a general quadratic algebra and its requirements as a comodule. It emphasizes the tensor structure of the category of modules, necessitating a braided structure and the existence of an R-matrix that adheres to the quantum Yang-Baxter equation. The search for a self-dual model for Rq[G] leads to insights by V. G. Drinfeld, particularly concerning the Borel part of Uq(g) and the Drinfeld double, revealing a deep interconnection among various approaches in the context of semisimple groups.
Buchkauf
Quantum Groups and Their Primitive Ideals, Anthony Joseph
- Sprache
- Erscheinungsdatum
- 2011
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- Titel
- Quantum Groups and Their Primitive Ideals
- Sprache
- Englisch
- Autor*innen
- Anthony Joseph
- Verlag
- 2011
- Einband
- Paperback
- Seitenzahl
- 400
- ISBN13
- 9783642784026
- Kategorie
- Mathematik, Naturwissenschaften
- Beschreibung
- The book delves into advanced concepts of quantum groups, focusing on the construction of Rq[G] through a general quadratic algebra and its requirements as a comodule. It emphasizes the tensor structure of the category of modules, necessitating a braided structure and the existence of an R-matrix that adheres to the quantum Yang-Baxter equation. The search for a self-dual model for Rq[G] leads to insights by V. G. Drinfeld, particularly concerning the Borel part of Uq(g) and the Drinfeld double, revealing a deep interconnection among various approaches in the context of semisimple groups.