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Complex Semisimple Quantum Groups and Representation Theory

Name: Complex Semisimple Quantum Groups and Representation Theory
Brand: Springer Nature Switzerland AG
SKU: 33249380
Price: 53.19 EUR
Availability: InStock
Author: Christian Voigt
ISBN: 9783030524623

Christian Voigt

Language

English

Book Paperback

Libristo code: 33249380

Publishers Springer Nature Switzerland AG, September 2020

This book provides a thorough introduction to the theory of complex semisimple quantum groups, that... Full description

Libristo code: 33249380

130 b

53.19 € VAT included

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This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q-deformation of a complex semisimple Lie group. The main components are:- a thorough introduction to quantized universal enveloping algebras over general base fields and generic deformation parameters, including finite dimensional representation theory, the Poincaré-Birkhoff-Witt Theorem, the locally finite part, and the Harish-Chandra homomorphism,- the analytic theory of quantized complex semisimple Lie groups in terms of quantized algebras of functions and their duals,- algebraic representation theory in terms of category O, and- analytic representation theory of quantized complex semisimple groups. Given its scope, the book will be a valuable resource for both graduate students and researchers in the area of quantum groups.