UID:
almahu_9948582187002882
Format:
X, 376 p. 25 illus.
,
online resource.
Edition:
1st ed. 2020.
ISBN:
9783030524630
Series Statement:
Lecture Notes in Mathematics, 2264
Content:
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.
In:
Springer Nature eBook
Additional Edition:
Printed edition: ISBN 9783030524623
Additional Edition:
Printed edition: ISBN 9783030524647
Language:
English
DOI:
10.1007/978-3-030-52463-0
URL:
https://doi.org/10.1007/978-3-030-52463-0
