Deformation quantization of Leibniz algebras

被引：18
|
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.
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页码：21 / 48
页数：28
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