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Deformation quantization and vector fieldsстатья
- Автор: Sharygin G.
- Сборник: VIASM Preprint Series
- Серия: VIASM Preprint Series
- Том: 16
- Год издания: 2016
- Место издания: VIASM Ханой
- Аннотация: In this short note I discuss the problem, if it is possible to extend the action of a Lie algebra g of Poisson vector fields on a Poisson manifold M, π (here π is the Poisson bivector) to an action of the same Lie algebra on the deformation quantization of the algebra C∞(M) by differentiations. In the paper I give a list of cohomological obstructions, (taking values in Hochschild and Lichnerowicz-Poisson cohomology of M), that vanish iff such deformation of g exists.
- Добавил в систему: Шарыгин Георгий Игорьевич