Recent developments in deformation quantization
classification
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deformationdevelopmentsoverviewquantizationrecentstaralgebraalgebras
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In this review an overview on some recent developments in deformation quantization is given. After a general historical overview we motivate the basic definitions of star products and their equivalences both from a mathematical and a physical point of view. Then we focus on two topics: the Morita classification of star product algebras and convergence issues which lead to the nuclear Weyl algebra.
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