Deformation quantization of Leibniz algebras

被引：22

作者：

Dherin, Benoit ^{[1
]}

Wagemann, Friedrich ^{[2
]}

机构：

[1] Univ Calif Berkeley, Berkeley, CA 94720 USA

[2] Univ Nantes, F-44035 Nantes, France

来源：

ADVANCES IN MATHEMATICS | 2015年 / 270卷

关键词：

Leibniz algebra; Integration; BCH-formula; Deformation quantization; Non-skew-symmetric Poisson manifolds; POISSON; BRACKETS;

D O I：

10.1016/j.aim.2014.10.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use the local integration of a Leibniz algebra l) using a Baker-Campbell-Hausdorff type formula in order to deformation quantize its linear dual h*. More precisely, we define a natural rack product on the set of exponential functions on h* which extends to a rack action on C-infinity (h*). (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：21 / 48

页数：28

共 22 条

[1] DEFORMATION THEORY AND QUANTIZATION .1. DEFORMATIONS OF SYMPLECTIC STRUCTURES [J].