Quantum Isometry Groups

Name: Quantum Isometry Groups
Brand: Springer, India, Private Ltd
SKU: 9788132236658
Price: 105.11 EUR
Availability: InStock

Автор: Debashish Goswami, Jyotishman Bhowmick

Език:

Корици: С твърди корици

Издател: Springer, India, Private Ltd

Наличност: Външен склад

Изпращаме след 10-13 дни

105.11 € 205.57 лв

This book offers an up-to-date overview of the recently proposed theory of quantum isometry groups....

Информация за книгата

Автор

Debashish Goswami, Jyotishman Bhowmick

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2017

страници

235

EAN

9788132236658

ISBN

8132236653

Enbook ID

13719955

Издател

Springer, India, Private Ltd

Теглоt

5207

Размери

155 x 235 x 21

Пълно описание

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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Quantum Isometry Groups

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