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Quantum Isometry Groups

Jezik EngleskiEngleski
Knjiga Tvrdi uvez
Knjiga Quantum Isometry Groups Debashish Goswami
Libristo kod: 13719955
Nakladnici Springer, India, Private Ltd, siječanj 2017
This book offers an up-to-date overview of the recently proposed theory of quantum isometry groups.... Cijeli opis
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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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Informacije o knjizi

Puni naziv Quantum Isometry Groups
Jezik Engleski
Uvez Knjiga - Tvrdi uvez
Datum izdanja 2017
Broj stranica 235
EAN 9788132236658
ISBN 8132236653
Libristo kod 13719955
Težina 5207
Dimenzije 155 x 235 x 21
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