HOME > Detail View

Detail View

Quantum isometry groups [electronic resource]

Quantum isometry groups [electronic resource]

Material type
E-Book(소장)
Personal Author
Goswami, Debashish. Bhowmick, Jyotishman.
Title Statement
Quantum isometry groups [electronic resource] / Debashish Goswami, Jyotishman Bhowmick.
Publication, Distribution, etc
New Delhi :   Springer India :   Imprint: Springer,   2016.  
Physical Medium
1 online resource (xxviii, 235 p.).
Series Statement
Infosys science foundation series,2363-6149
ISBN
9788132236672
요약
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.
General Note
Title from e-Book title page.  
Content Notes
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.
Bibliography, Etc. Note
Includes bibliographical references.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Noncommutative differential geometry. Quantum groups. Global analysis (Mathematics). Isometrics (Mathematics).
Short cut
URL
000 00000nam u2200205 a 4500
001 000046031489
005 20200616145057
006 m d
007 cr
008 200611s2016 ii ob 000 0 eng d
020 ▼a 9788132236672
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QC20.7.G76
082 0 4 ▼a 512.55 ▼2 23
084 ▼a 512.55 ▼2 DDCK
090 ▼a 512.55
100 1 ▼a Goswami, Debashish.
245 1 0 ▼a Quantum isometry groups ▼h [electronic resource] / ▼c Debashish Goswami, Jyotishman Bhowmick.
260 ▼a New Delhi : ▼b Springer India : ▼b Imprint: Springer, ▼c 2016.
300 ▼a 1 online resource (xxviii, 235 p.).
490 1 ▼a Infosys science foundation series, ▼x 2363-6149
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references.
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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Noncommutative differential geometry.
650 0 ▼a Quantum groups.
650 0 ▼a Global analysis (Mathematics).
650 0 ▼a Isometrics (Mathematics).
700 1 ▼a Bhowmick, Jyotishman.
830 0 ▼a Infosys science foundation series.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-81-322-3667-2
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 512.55 Accession No. E14023900 Availability Loan can not(reference room) Due Date Make a Reservation Service M

New Arrivals Books in Related Fields