000			02201nam 2200337| 4500
001			84775
005			20200228111245.0
010			_a978-81-322-3667-2 _dcompra
090			_a84775
100			_a20190128d2016 k||y0pory50 ba
101			_aeng
102			_aIN
200			_aQuantum isometry groups _bDocumento eletrónico _fDebashish Goswami, Jyotishman Bhowmick
210			_aNew Delhi _cSpringer _d2016
215			_aXXVIII, 235 p.
225			_aInfosys Science Foundation Series in Mathematical Sciences
300			_aColocação: Online
303			_aThis 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.
410			_x2364-4036
606			_aAnálise global (Matemática)
606			_aGeometria diferencial global
606			_aAnálise funcional
606			_aTeoria quântica
680			_aQA614.8
700			_aGoswami _bDebashish
701			_934043 _aBhowmick _bJyotishman _4070
801			_gRPC _aPT
856			_uhttps://doi.org/10.1007/978-81-322-3667-2
942			_2lcc _cF _n0