語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Quantum isometry groups
~
SpringerLink (Online service)
Quantum isometry groups
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/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) -
電子資源:
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:
867034
Isometrics (Mathematics)
LC Class. No.: QC20.7.G76 / G67 2016
Dewey Class. No.: 512.55
Quantum isometry groups
LDR
:02791nam a2200325 a 4500
001
869368
003
DE-He213
005
20170105162054.0
006
m d
007
cr nn 008maaau
008
170828s2016 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
684951
245
1 0
$a
Quantum isometry groups
$h
[electronic resource] /
$c
by Debashish Goswami, Jyotishman Bhowmick.
260
$a
New Delhi :
$c
2016.
$b
Springer India :
$b
Imprint: Springer,
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
867034
650
0
$a
Noncommutative differential geometry.
$3
681235
650
0
$a
Quantum groups.
$3
685263
650
1 4
$a
Mathematics.
$3
527692
650
2 4
$a
Global Analysis and Analysis on Manifolds.
$3
672519
650
2 4
$a
Mathematical Physics.
$3
786661
650
2 4
$a
Differential Geometry.
$3
671118
650
2 4
$a
Functional Analysis.
$3
672166
650
2 4
$a
Quantum Physics.
$3
671960
700
1
$a
Bhowmick, Jyotishman.
$3
1117525
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer eBooks
830
0
$a
Infosys science foundation series.
$3
1065162
856
4 0
$u
http://dx.doi.org/10.1007/978-81-322-3667-2
950
$a
Mathematics and Statistics (Springer-11649)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入