國立虎尾科技大學 |

Complex Semisimple Quantum Groups and Representation Theory

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Complex Semisimple Quantum Groups and Representation Theory/ by Christian Voigt, Robert Yuncken.
Author:	Voigt, Christian.
other author:	Yuncken, Robert.
Description:	X, 376 p. 25 illus.online resource. :
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. - 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:

527791
Group theory.

LC Class. No.: QA174-183

Dewey Class. No.: 512.2

Complex Semisimple Quantum Groups and Representation Theory
LDR:02466nam a22003975i 4500 001 1029641
003 DE-He213
005 20200924170313.0
007 cr nn 008mamaa
008 210318s2020 gw | s |||| 0|eng d
020 $a 9783030524630 $9 978-3-030-52463-0
024 7 $a 10.1007/978-3-030-52463-0 $2 doi
035 $a 978-3-030-52463-0
050 4 $a QA174-183
072 7 $a PBG $2 bicssc
072 7 $a MAT002010 $2 bisacsh
072 7 $a PBG $2 thema
082 0 4 $a 512.2 $2 23
100 1 $a Voigt, Christian. $e author. $0 (orcid)0000-0003-3225-5633 $1 https://orcid.org/0000-0003-3225-5633 $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1326431
245 1 0 $a Complex Semisimple Quantum Groups and Representation Theory $h [electronic resource] / $c by Christian Voigt, Robert Yuncken.
250 $a 1st ed. 2020.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a X, 376 p. 25 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Lecture Notes in Mathematics, $x 0075-8434 ; $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 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.
650 0 $a Group theory. $3 527791
650 0 $a Functional analysis. $3 527706
650 0 $a Topological groups. $3 885827
650 0 $a Lie groups. $3 527929
650 0 $a Associative rings. $3 893564
650 0 $a Rings (Algebra). $3 685051
650 0 $a Harmonic analysis. $3 672073
650 1 4 $a Group Theory and Generalizations. $3 672112
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Topological Groups, Lie Groups. $3 672074
650 2 4 $a Associative Rings and Algebras. $3 672306
650 2 4 $a Abstract Harmonic Analysis. $3 672075
700 1 $a Yuncken, Robert. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1326432
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030524623
776 0 8 $i Printed edition: $z 9783030524647
830 0 $a Lecture Notes in Mathematics, $x 0075-8434 ; $v 2144 $3 1254300
856 4 0 $u https://doi.org/10.1007/978-3-030-52463-0
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
912 $a ZDB-2-LNM
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)