Courant brackets on noncommutative algebras and omni-Lie algebras

Details Courant brackets on noncommutative algebras and omni-Lie algebras Courant brackets on noncommutative algebras and omni-Lie algebras

2006-04-05

arxiv.org/abs/math/0604101v1

Mathematics

Symplectic Geometry

18pages,Tokyo Journal of Mathematics (to appear)

Scientific paper

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.

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