eng
Science and Education Publishing
Journal of Mathematical Sciences and Applications
2333-8792
2022-03-15
9
1
1
6
10.12691/jmsa-9-1-1
JMSA2022911
article
On the Cohomological Impact of a Quasi-Poisson Structure for Some Poisson Cohomology Spaces
Bruno Iskaml¨¦
brunoiskamle@gmail.com
1
Department of Mathematics and Computer Science, Faculty of Sciences, University of Maroua, Cameroon
In order to construct a Poisson cohomology complex in the quasi-Poisson context, we establish an isomorphism between interesting Poisson cohomology groups for a quasi-Poisson algebra and Poisson cohomology groups for Poisson algebra coming from the Jacobiator of the quasi-Poisson algebra.
http://pubs.sciepub.com/jmsa/9/1/1/jmsa-9-1-1.pdf
(Quasi-) Poisson algebra
Jacobiator
coboundary
Poisson cohomology