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L∞-derivations and the argument shift method for deformation quantization algebrasстатья
- Автор: Шарыгин Г.И.
- Сборник: ArXiv.org e-Print
- Серия: Series arxive "math"
- Год издания: 2019
- Номер статьи: arXiv:1912.00586 [math.SG]
- Аннотация: The argument shift method is a well-known method for generating commutative families of functions in Poisson algebras from central elements and a vector field, verifying a special condition with respect to the Poisson bracket. In this notice we give an analogous construction, which gives one a way to create commutative subalgebras of a deformed algebra from its center (which is as it is well known describable in the terms of the center of the Poisson algebra) and an L∞- differentiation of the algebra of Hochschild cochains, verifying some additional conditions with respect to the Poisson structure.
- Добавил в систему: Шарыгин Георгий Игорьевич