Automorphisms of the Weyl algebra

被引：42

作者：

Belov-Kanel, A

Kontsevich, M

机构：

[1] Hebrew Univ Jerusalem, Math Inst, IL-91904 Jerusalem, Israel

[2] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2005年 / 74卷 / 02期

关键词：

Weyl algebra; symplectomorphism; quantization; Azumaya algebras;

D O I：

10.1007/s11005-005-0027-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss a conjecture which says that the automorphism group of the Weyl algebra in characteristic zero is canonically isomorphic to the automorphism group of the corresponding Poisson algebra of classical polynomial symbols. Several arguments in favor of this conjecture are presented, all based on the consideration of the reduction of the Weyl algebra to positive characteristic.

引用

页码：181 / 199

页数：19

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