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- W4385963903 abstract "In this paper we prove that the classical Lie bracket of vector fields can be generalized to the noncommutative setting by antisymmetrizing (in a suitable noncommutative sense) their compositions. To accomplish this, we study linear differential operators on modules over a unital associative algebra equipped with an exterior algebra. We provide necessary and sufficient conditions for jet modules to be representing objects for differential operators, which is, a priori, a key desideratum for any theory of noncommutative differential geometry. Further, we construct natural symbol maps, which play a crucial r^ole in the construction of the aforementioned Lie bracket." @default.
- W4385963903 created "2023-08-18" @default.
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- W4385963903 date "2023-08-01" @default.
- W4385963903 modified "2023-09-23" @default.
- W4385963903 title "Symbols in Noncommutative Geometry" @default.
- W4385963903 doi "https://doi.org/10.48550/arxiv.2308.00835" @default.
- W4385963903 hasPublicationYear "2023" @default.
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