Complex Semisimple Quantum Groups and Representation Theory / by Christian Voigt, Robert Yuncken

By:

Voigt, Christian [VerfasserIn]

Contributor(s):

Yuncken, Robert [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer eBook Collection | Lecture notes in mathematics ; 2264Publisher: Cham : Springer International Publishing, 2020Publisher: Cham : Imprint: Springer, 2020Edition: 1st ed. 2020Description: 1 Online-Ressource(X, 376 p. 25 illus.)ISBN:

9783030524630

Subject(s):

Additional physical formats: 9783030524623 | 9783030524647 | Erscheint auch als: Complex semisimple quantum groups and representation theory. Druck-Ausgabe Cham : Springer Nature, 2020. x, 374 SeitenDOI: DOI: 10.1007/978-3-030-52463-0Online resources:

Summary: 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.PPN: PPN: 1734627476Package identifier: Produktsigel: ZDB-2-LNM | ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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