Cohomology and deformations of Courant pairs
K-Theory and Homology
2016-06-07 v1 Differential Geometry
Rings and Algebras
Symplectic Geometry
Abstract
In this note we define a notion of Courant pair as a Courant algebra over the Lie algebra of linear derivations on an associative algebra. We study formal deformations of Courant pairs by constructing a cohomology bicomplex with coefficients in a module from the cochain complexes defining Hochschild cohomology and Leibniz cohomology.
Keywords
Cite
@article{arxiv.1606.01654,
title = {Cohomology and deformations of Courant pairs},
author = {Ashis Mandal and Satyendra Kumar Mishra},
journal= {arXiv preprint arXiv:1606.01654},
year = {2016}
}
Comments
23 pages, any comments are welcome