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The Resource Quantum Isometry Groups, by Debashish Goswami, Jyotishman Bhowmick, (electronic resource)
Quantum Isometry Groups, by Debashish Goswami, Jyotishman Bhowmick, (electronic resource)
Resource Information
The item Quantum Isometry Groups, by Debashish Goswami, Jyotishman Bhowmick, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Quantum Isometry Groups, by Debashish Goswami, Jyotishman Bhowmick, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This book offers an uptodate 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 operatoralgebraic 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 nonexistence of nonclassical 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
 Language
 eng
 Extent
 XXVIII, 235 p.
 Contents

 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
 Isbn
 9788132236672
 Label
 Quantum Isometry Groups
 Title
 Quantum Isometry Groups
 Statement of responsibility
 by Debashish Goswami, Jyotishman Bhowmick
 Subject

 Manifolds (Mathematics)
 Functional analysis
 Geometry, Differential
 Mathematical physics
 Global analysis (Mathematics)
 Quantum Physics
 Mathematical physics
 Manifolds (Mathematics)
 Quantum theory
 Geometry, Differential
 Functional Analysis
 Mathematical Physics
 Electronic resources
 Functional Analysis
 Mathematics
 Differential Geometry
 Quantum theory
 Global Analysis and Analysis on Manifolds
 Mathematical Physics
 Global analysis (Mathematics)
 Mathematics
 Manifolds (Mathematics)
 Functional analysis
 Language
 eng
 Summary
 This book offers an uptodate 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 operatoralgebraic 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 nonexistence of nonclassical 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
 http://library.link/vocab/creatorName
 Goswami, Debashish
 Image bit depth
 0
 LC call number
 QA614614.97
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Bhowmick, Jyotishman.
 SpringerLink
 Series statement
 Infosys Science Foundation Series,
 http://library.link/vocab/subjectName

 Mathematics
 Functional analysis
 Global analysis (Mathematics)
 Manifolds (Mathematics)
 Geometry, Differential
 Mathematical physics
 Quantum theory
 Mathematics
 Global Analysis and Analysis on Manifolds
 Mathematical Physics
 Differential Geometry
 Functional Analysis
 Quantum Physics
 Label
 Quantum Isometry Groups, by Debashish Goswami, Jyotishman Bhowmick, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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
 Dimensions
 unknown
 Extent
 XXVIII, 235 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9788132236672
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9788132236672
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9788132236672
 Label
 Quantum Isometry Groups, by Debashish Goswami, Jyotishman Bhowmick, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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
 Dimensions
 unknown
 Extent
 XXVIII, 235 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9788132236672
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9788132236672
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9788132236672
Subject
 Differential Geometry
 Electronic resources
 Functional Analysis
 Functional Analysis
 Functional analysis
 Functional analysis
 Geometry, Differential
 Geometry, Differential
 Global Analysis and Analysis on Manifolds
 Global analysis (Mathematics)
 Global analysis (Mathematics)
 Manifolds (Mathematics)
 Manifolds (Mathematics)
 Manifolds (Mathematics)
 Mathematical Physics
 Mathematical Physics
 Mathematical physics
 Mathematical physics
 Mathematics
 Mathematics
 Quantum Physics
 Quantum theory
 Quantum theory
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