A simple construction of associative deformations

被引：5
|
作者：
Sharapov, Alexey A. [1 ]
Skvortsov, Evgeny D. [2 ,3 ]
机构：
[1] Tomsk State Univ, Fac Phys, Lenin Ave 36, Tomsk 634050, Russia
[2] Albert Einstein Inst, Muhlenberg 1, D-14476 Potsdam, Germany
[3] Lebedev Inst Phys, Leninsky Ave 53, Moscow 119991, Russia
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2019年 / 109卷 / 03期
基金：
俄罗斯科学基金会;
关键词：
Deformation quantization; Noncommutative Poisson structures; Symplectic reflection algebras; Injective resolution; HOCHSCHILD COHOMOLOGY; WEYL ALGEBRA; GENERALIZED DEFORMATIONS; QUANTIZATION; HOMOLOGY;
D O I：
10.1007/s11005-018-1119-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We propose a simple approach to formal deformations of associative algebras. It exploits the machinery of multiplicative coresolutions of an associative algebra A in the category of A-bimodules. Specifically, we show that certain first-order deformations of A extend to all orders and we derive explicit recurrent formulas determining this extension. In physical terms, this may be regarded as the deformation quantization of noncommutative Poisson structures on A.
引用
收藏
页码：623 / 641
页数：19
相关论文
共 50 条
12345