Courant brackets on noncommutative algebras and omni-Lie algebras

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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.
18pages,Tokyo Journal of Mathematics (to appear)

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Symplectic Geometry, 53D17; 16E40

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http://salesiana.dossiersoluciones.com/handle/123456789/111452

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604101
 http://arxiv.org/abs/math/0604101

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arXiv