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- W3045909189 abstract "We prove a Lie-algebraic characterization of vector bundle for the Lie algebra $mathcal{D}(E,M)$ of all linear operators acting on sections of a vector bundle $E$. We obtain similar result for its Lie subalgebra $mathcal{D}^1(E,M)$ of all linear first-order differential operators. Thanks to a well-chosen filtration, $mathcal{D}(E,M)$ becomes $mathcal{P}(E,M)$ and we prove that $mathcal{P}^1(E,M)$ characterizes the vector bundle without the hypothesis of being seen as module on the space of smooth functions of $M$." @default.
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- W3045909189 date "2020-07-29" @default.
- W3045909189 modified "2023-09-27" @default.
- W3045909189 title "On quasi quantum Poisson algebras : Lie-algebraic characterization" @default.
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