Deformation quantization of Leibniz algebras

作者：Dherin Benoit; Wagemann Friedrich^*

来源：Advances in Mathematics, 2015, 270: 21-48.

DOI：10.1016/j.aim.2014.10.022

• Leibniz algebra
• Integration
• BCH-formula
• Deformation quantization
• Non-skew-symmetric Poisson manifolds

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*).

• 出版日期2015-1-22