Deformations of Courant pairs and Poisson algebras
Quantum Algebra
2018-05-29 v1
Abstract
We study deformation of Courant pairs with a commutative algebra base. We consider the deformation cohomology bi-complex and describe a universal infinitesimal deformation. In a sequel, we formulate an extension of a given deformation of a Courant pair to another with extended base. This leads to describe the obstruction in extending a given deformation. We also discuss about the construction of versal deformation of Courant pairs. As an application, we explicitly compute universal infinitesimal deformation of Poisson algebra structures
Keywords
Cite
@article{arxiv.1805.10429,
title = {Deformations of Courant pairs and Poisson algebras},
author = {Ashis Mandal and Satyendra Kumar Mishra},
journal= {arXiv preprint arXiv:1805.10429},
year = {2018}
}