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Quantum Isometry Groups

Af: Debashish Goswami, Jyotishman Bhowmick Engelsk Hardback

Quantum Isometry Groups

Af: Debashish Goswami, Jyotishman Bhowmick Engelsk Hardback
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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.

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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.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 235
ISBN-13: 9788132236658
Indbinding: Hardback
Udgave:
ISBN-10: 8132236653
Kategori: Funktionsanalyse og transformation
Udg. Dato: 12 jan 2017
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer, India, Private Ltd
Oplagsdato: 12 jan 2017
Forfatter(e): Debashish Goswami, Jyotishman Bhowmick
Forfatter(e) Debashish Goswami, Jyotishman Bhowmick

Kategori Funktionsanalyse og transformation

ISBN-13 9788132236658

Sprog Engelsk

Indbinding Hardback

Sider 235

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 12 jan 2017

Oplagsdato 12 jan 2017

Forlag Springer, India, Private Ltd

Kategori sammenhænge