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Complex semisimple quantum groups an...

Voigt, Christian.

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Complex semisimple quantum groups and representation theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Complex semisimple quantum groups and representation theory/ by Christian Voigt, Robert Yuncken.
Author:	Voigt, Christian.
other author:	Yuncken, Robert.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	x, 376 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Group theory. -
Online resource:	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. - Cham :Springer International Publishing :2020. - x, 376 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v.22640075-8434 ;. - Lecture notes in mathematics ;v.2264..

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 Poincare-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:

523248
Group theory.

LC Class. No.: QA174.2

Dewey Class. No.: 512.2

Complex semisimple quantum groups and representation theory
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100 1 $a Voigt, Christian. $3 3504363
245 1 0 $a Complex semisimple quantum groups and representation theory $h [electronic resource] / $c by Christian Voigt, Robert Yuncken.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a x, 376 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v v.2264
520 $a 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 Poincare-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.
650 0 $a Group theory. $3 523248
650 0 $a Functional analysis. $3 531838
650 0 $a Topological groups. $3 640562
650 0 $a Lie groups. $3 526114
650 0 $a Associative rings. $3 668071
650 0 $a Rings (Algebra) $3 540500
650 0 $a Harmonic analysis. $3 555704
650 1 4 $a Group Theory and Generalizations. $3 893889
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Topological Groups, Lie Groups. $3 891005
650 2 4 $a Associative Rings and Algebras. $3 897405
650 2 4 $a Abstract Harmonic Analysis. $3 891093
700 1 $a Yuncken, Robert. $3 3504364
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics ; $v v.2264. $3 3504365
856 4 0 $u https://doi.org/10.1007/978-3-030-52463-0
950 $a Mathematics and Statistics (SpringerNature-11649)