The Resource Quantum Isometry Groups, by Debashish Goswami, Jyotishman Bhowmick, (electronic resource)

Quantum Isometry Groups, by Debashish Goswami, Jyotishman Bhowmick, (electronic resource)

Label
Quantum Isometry Groups
Title
Quantum Isometry Groups
Statement of responsibility
by Debashish Goswami, Jyotishman Bhowmick
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Goswami, Debashish
Image bit depth
0
LC call number
QA614-614.97
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)
Instantiates
Publication
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
10.1007/978-81-322-3667-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-81-322-3667-2
Label
Quantum Isometry Groups, by Debashish Goswami, Jyotishman Bhowmick, (electronic resource)
Publication
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
10.1007/978-81-322-3667-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-81-322-3667-2

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