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 $M$.

 

Downloads

Published

2016-06-07

How to Cite

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

Issue

Section

Articles