Frechet Lie Algebroids and Their Cohomology

Authors

  • Kaveh Eftekharinasab Institute of Mathematics of NAS of Ukraine, Tereshchenkivska st. 3, Kyiv, 01601 Ukraine

Abstract

We define Lie and Courant algebroids on Frechet manifolds. Moreover, we construct a Dirac structure on the generalized tangent bundle of a Frechet manifold and show that it inherits a Frechet Lie algebroid structure. We show that the Lie algebroid cohomology of the $\mathcal{B}$-cotangent bundle Lie algebroid of a weakly symplectic Frechet manifold $M$ is the Lichnerowicz-Poisson cohomology of $M$.

 

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Published

2016-06-07

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Section

Articles

How to Cite

Frechet Lie Algebroids and Their Cohomology. (2016). Armenian Journal of Mathematics, 8(1), 77-85. http://test.armjmath.sci.am/index.php/ajm/article/view/125