Relations in Quantized Function Algebras

We develop a method to give presentations of quantized function algebras of complex reductive groups. In particular, we give presentations of quantized function algebras of automorphism groups of finite dimensional simple complex Lie algebras. Keyword: Quantized function algebras; C*-tensor categori...

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Bibliographic Details
Main Authors: Etingof, Pavel I, Neshveyev, Sergey
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Netherlands 2019
Subjects:
Online Access:https://hdl.handle.net/1721.1/122975
Description
Summary:We develop a method to give presentations of quantized function algebras of complex reductive groups. In particular, we give presentations of quantized function algebras of automorphism groups of finite dimensional simple complex Lie algebras. Keyword: Quantized function algebras; C*-tensor categories; Quantum groups at roots of unity; Quasitriangular Hopf algebras