東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Quantum isometry groups

Goswami, Debashish.

Linked to FindBook

Google Book

Amazon

博客來

Quantum isometry groups

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum isometry groups/ by Debashish Goswami, Jyotishman Bhowmick.
Author:	Goswami, Debashish.
other author:	Bhowmick, Jyotishman.
Published:	New Delhi :Springer India : : 2016.,
Description:	xxviii, 235 p. :ill., digital ;24 cm.
[NT 15003449]:	Chapter 1. Introduction -- Chapter 2. Preliminaries -- Chapter 3. Classical and Noncommutative Geometry -- Chapter 4. Definition and Existence of Quantum Isometry Groups -- Chapter 5. Quantum Isometry Groups of Classical and Quantum -- Chapter 6. Quantum Isometry Groups of Discrete Quantum Spaces -- Chapter 7. Nonexistence of Genuine Smooth CQG Actions on Classical Connected Manifolds -- Chapter 8. Deformation of Spectral Triples and Their Quantum Isometry Groups -- Chapter 9. More Examples and Computations -- Chapter 10. Spectral Triples and Quantum Isometry Groups on Group C*-Algebras.
Contained By:	Springer eBooks
Subject:	Isometrics (Mathematics) -
Online resource:	http://dx.doi.org/10.1007/978-81-322-3667-2
ISBN:	9788132236672

Quantum isometry groups
Goswami, Debashish.

Quantum isometry groups[electronic resource] /by Debashish Goswami, Jyotishman Bhowmick. - New Delhi :Springer India :2016. - xxviii, 235 p. :ill., digital ;24 cm. - Infosys science foundation series,2363-6149. - Infosys science foundation series..

Chapter 1. Introduction -- Chapter 2. Preliminaries -- Chapter 3. Classical and Noncommutative Geometry -- Chapter 4. Definition and Existence of Quantum Isometry Groups -- Chapter 5. Quantum Isometry Groups of Classical and Quantum -- Chapter 6. Quantum Isometry Groups of Discrete Quantum Spaces -- Chapter 7. Nonexistence of Genuine Smooth CQG Actions on Classical Connected Manifolds -- Chapter 8. Deformation of Spectral Triples and Their Quantum Isometry Groups -- Chapter 9. More Examples and Computations -- Chapter 10. Spectral Triples and Quantum Isometry Groups on Group C*-Algebras.

This book offers an up-to-date overview of the recently proposed theory of quantum isometry groups. Written by the founders, it is the first book to present the research on the "quantum isometry group", highlighting the interaction of noncommutative geometry and quantum groups, which is a noncommutative generalization of the notion of group of isometry of a classical Riemannian manifold. The motivation for this generalization is the importance of isometry groups in both mathematics and physics. The framework consists of Alain Connes' "noncommutative geometry" and the operator-algebraic theory of "quantum groups". The authors prove the existence of quantum isometry group for noncommutative manifolds given by spectral triples under mild conditions and discuss a number of methods for computing them. One of the most striking and profound findings is the non-existence of non-classical quantum isometry groups for arbitrary classical connected compact manifolds and, by using this, the authors explicitly describe quantum isometry groups of most of the noncommutative manifolds studied in the literature. Some physical motivations and possible applications are also discussed.

ISBN: 9788132236672

Standard No.: 10.1007/978-81-322-3667-2doiSubjects--Topical Terms:

596358
Isometrics (Mathematics)

LC Class. No.: QC20.7.G76 / G67 2016

Dewey Class. No.: 512.55

Quantum isometry groups
LDR:02791nmm a2200325 a 4500 001 2084197
003 DE-He213
005 20170105162054.0
006 m d
007 cr nn 008maaau
008 170820s2016 ii s 0 eng d
020 $a 9788132236672 $q (electronic bk.)
020 $a 9788132236658 $q (paper)
024 7 $a 10.1007/978-81-322-3667-2 $2 doi
035 $a 978-81-322-3667-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QC20.7.G76 $b G67 2016
072 7 $a PBKS $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 512.55 $2 23
090 $a QC20.7.G76 $b G682 2016
100 1 $a Goswami, Debashish. $3 629835
245 1 0 $a Quantum isometry groups $h [electronic resource] / $c by Debashish Goswami, Jyotishman Bhowmick.
260 $a New Delhi : $b Springer India : $b Imprint: Springer, $c 2016.
300 $a xxviii, 235 p. : $b ill., digital ; $c 24 cm.
490 1 $a Infosys science foundation series, $x 2363-6149
505 0 $a Chapter 1. Introduction -- Chapter 2. Preliminaries -- Chapter 3. Classical and Noncommutative Geometry -- Chapter 4. Definition and Existence of Quantum Isometry Groups -- Chapter 5. Quantum Isometry Groups of Classical and Quantum -- Chapter 6. Quantum Isometry Groups of Discrete Quantum Spaces -- Chapter 7. Nonexistence of Genuine Smooth CQG Actions on Classical Connected Manifolds -- Chapter 8. Deformation of Spectral Triples and Their Quantum Isometry Groups -- Chapter 9. More Examples and Computations -- Chapter 10. Spectral Triples and Quantum Isometry Groups on Group C*-Algebras.
520 $a This book offers an up-to-date overview of the recently proposed theory of quantum isometry groups. Written by the founders, it is the first book to present the research on the "quantum isometry group", highlighting the interaction of noncommutative geometry and quantum groups, which is a noncommutative generalization of the notion of group of isometry of a classical Riemannian manifold. The motivation for this generalization is the importance of isometry groups in both mathematics and physics. The framework consists of Alain Connes' "noncommutative geometry" and the operator-algebraic theory of "quantum groups". The authors prove the existence of quantum isometry group for noncommutative manifolds given by spectral triples under mild conditions and discuss a number of methods for computing them. One of the most striking and profound findings is the non-existence of non-classical quantum isometry groups for arbitrary classical connected compact manifolds and, by using this, the authors explicitly describe quantum isometry groups of most of the noncommutative manifolds studied in the literature. Some physical motivations and possible applications are also discussed.
650 0 $a Isometrics (Mathematics) $3 596358
650 0 $a Noncommutative differential geometry. $3 629838
650 0 $a Quantum groups. $3 629837
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 891107
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Differential Geometry. $3 891003
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Quantum Physics. $3 893952
700 1 $a Bhowmick, Jyotishman. $3 3210104
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Infosys science foundation series. $3 2133484
856 4 0 $u http://dx.doi.org/10.1007/978-81-322-3667-2
950 $a Mathematics and Statistics (Springer-11649)