大葉大學圖書館 |

Quantum isometry groups[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	512.55
書名/作者:	Quantum isometry groups/ by Debashish Goswami, Jyotishman Bhowmick.
作者:	Goswami, Debashish.
其他作者:	Bhowmick, Jyotishman.
出版者:	New Delhi : : Springer India :, 2016.
面頁冊數:	xxviii, 235 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Isometrics (Mathematics)
標題:	Noncommutative differential geometry.
標題:	Quantum groups.
標題:	Mathematics.
標題:	Global Analysis and Analysis on Manifolds.
標題:	Mathematical Physics.
標題:	Differential Geometry.
標題:	Functional Analysis.
標題:	Quantum Physics.
ISBN:	9788132236672
ISBN:	9788132236658
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-81-322-3667-2

Quantum isometry groups[electronic resource] /
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:

487607
Isometrics (Mathematics)

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

Dewey Class. No.: 512.55

Quantum isometry groups[electronic resource] /
LDR:02791nam a2200325 a 4500 001 477356
003 DE-He213
005 20170105162054.0
006 m d
007 cr nn 008maaau
008 181208s2016 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 566540
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 487607
650 0 $a Noncommutative differential geometry. $3 489885
650 0 $a Quantum groups. $3 383611
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 464933
650 2 4 $a Mathematical Physics. $3 465111
650 2 4 $a Differential Geometry. $3 464898
650 2 4 $a Functional Analysis. $3 464114
650 2 4 $a Quantum Physics. $3 464237
700 1 $a Bhowmick, Jyotishman. $3 688862
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Infosys science foundation series. $3 605500
856 4 0 $u http://dx.doi.org/10.1007/978-81-322-3667-2
950 $a Mathematics and Statistics (Springer-11649)