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.
Citation
Kyousuke UCHINO. "Courant Brackets on Noncommutative Algebras and Omni-Lie Algebras." Tokyo J. Math. 30 (1) 239 - 255, June 2007. https://doi.org/10.3836/tjm/1184963659
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