Journal
ADVANCES IN MATHEMATICS
Volume 270, Issue -, Pages 21-48Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2014.10.022
Keywords
Leibniz algebra; Integration; BCH-formula; Deformation quantization; Non-skew-symmetric Poisson manifolds
Categories
Funding
- CNRS
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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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