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• W1650552997 abstract "This article is a survey of recent work [15, 6, 7, 13] developing a new approach to quantization based on the equivariance with respect to some Lie group of symmetries. Examples are provided by conformai and projective differential geometry: given a smooth manifold M endowed with a flat conformal/projective structure, we establish a canonical isomorphism between the space of symmetric contravariant tensor fields on M and the space of differential operators on M. This leads to a notion of conformally/projectively invariant star product on T * M." @default.
• W1650552997 created "2016-06-24" @default.
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• W1650552997 date "2001-01-01" @default.
• W1650552997 modified "2023-09-25" @default.
• W1650552997 title "Methods of Equivariant Quantization" @default.
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• W1650552997 doi "https://doi.org/10.1007/978-94-010-0704-7_1" @default.
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