Quantum Isometry Groups Hardcover - 2017
by Debashish Goswami; Jyotishman Bhowmick
From the rear cover
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.
Details
- Title Quantum Isometry Groups
- Author Debashish Goswami; Jyotishman Bhowmick
- Binding Hardcover
- Pages 235
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2017-01-12
- Illustrated Yes
- Features Illustrated
- ISBN 9788132236658 / 8132236653
- Weight 1.2 lbs (0.54 kg)
- Dimensions 9.21 x 6.14 x 0.63 in (23.39 x 15.60 x 1.60 cm)
- Dewey Decimal Code 514.74
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Quantum Isometry Groups (Infosys Science Foundation Series)
by Goswami, Debashish; Bhowmick, Jyotishman
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by Debashish Goswami
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