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Complex Semisimple Quantum Groups and Representation Theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Complex Semisimple Quantum Groups and Representation Theory/ by Christian Voigt, Robert Yuncken.
作者:	Voigt, Christian.
其他作者:	Yuncken, Robert.
面頁冊數:	X, 376 p. 25 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Abstract Harmonic Analysis. -
電子資源:	https://doi.org/10.1007/978-3-030-52463-0
ISBN:	9783030524630

Complex Semisimple Quantum Groups and Representation Theory
Voigt, Christian.

Complex Semisimple Quantum Groups and Representation Theory[electronic resource] /by Christian Voigt, Robert Yuncken. - 1st ed. 2020. - X, 376 p. 25 illus.online resource. - Lecture Notes in Mathematics,22640075-8434 ;. - Lecture Notes in Mathematics,2144.

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.

ISBN: 9783030524630

Standard No.: 10.1007/978-3-030-52463-0doiSubjects--Topical Terms:

672075
Abstract Harmonic Analysis.

LC Class. No.: QA174-183

Dewey Class. No.: 512.2

Complex Semisimple Quantum Groups and Representation Theory
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