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Augmented Polynomial Symplectomorphisms and Quantizationстатья
- Авторы: Alexei Kanel-Belov, Andrey Elishev, Jie-Tai Yu
- Сборник: arXiv e-prints
- Серия: Series arxive "math"
- Том: 5333
- Год издания: 2018
- Место издания: ARXIV
- Аннотация: We introduce a certain augmented (or quantized) version of the Weyl algebra and of its classical counterpart, the commutative Poisson algebra. We observe that the group of augmented symplectomorphisms -- that is, automorphisms of the augmented Poisson algebra -- possesses a dense tame subgroup (in power series topology) in complete analogy with the non-augmented case and that a canonical lifting to automorphisms of the augmented Weyl algebra exists. The canonicity allows us to provide a proof of a conjecture of Kontsevich on the Weyl algebra automorphisms which differs somewhat from the one we suggested in our prior work.
- Добавил в систему: Белов Алексей Яковлевич
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | 1812.02859.pdf | 246,0 КБ | 10 декабря 2018 [AlexeiBelov] |