Courant brackets on noncommutative algebras and omni-Lie algebras
Symplectic Geometry
2007-05-23 v1
Abstract
We define a Courant bracket on an associative algebra using the theory of Hochschild homology, and we introduce the notion of Dirac algebra. We show that the bracket of an omni-Lie algebra is quite a kind of Courant bracket.
Cite
@article{arxiv.math/0604101,
title = {Courant brackets on noncommutative algebras and omni-Lie algebras},
author = {Kyousuke Uchino},
journal= {arXiv preprint arXiv:math/0604101},
year = {2007}
}
Comments
18pages,Tokyo Journal of Mathematics (to appear)