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2017 Graded Lie Agebroids of Poisson Almost Commutative Algebras
Ferdinand Ngakeu
Afr. Diaspora J. Math. (N.S.) 20(2): 95-107 (2017).

Abstract

We introduce and study the notion of abelian groups graded Lie algebroid structures on almost commutative algebras $\mathcal A$ and show that any graded Poisson bracket on $\mathcal A$ induces a graded Lie algebroid structure on the $\mathcal A$-module of 1-forms on $\mathcal A$ as in the classical Poisson manifolds. We also derive from our formalism the graded Poisson cohomology.

Citation

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Ferdinand Ngakeu. "Graded Lie Agebroids of Poisson Almost Commutative Algebras." Afr. Diaspora J. Math. (N.S.) 20 (2) 95 - 107, 2017.

Information

Published: 2017
First available in Project Euclid: 9 January 2018

zbMATH: 1385.53075
MathSciNet: MR3743987

Subjects:
Primary: 17B75, 53D17, 81R60

Rights: Copyright © 2017 Mathematical Research Publishers

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Vol.20 • No. 2 • 2017
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