Courant brackets on noncommutative algebras and omni-Lie algebras

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dc.creatorUchino, Kyousuke
dc.date2006-04-05
dc.date.accessioned2026-07-07T07:10:33Z
dc.date.available2026-07-07T07:10:33Z
dc.descriptionWe 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.
dc.description18pages,Tokyo Journal of Mathematics (to appear)
dc.identifierhttps://arxiv.org/abs/math/0604101
dc.identifierhttp://arxiv.org/abs/math/0604101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111452
dc.subjectSymplectic Geometry
dc.subject53D17; 16E40
dc.titleCourant brackets on noncommutative algebras and omni-Lie algebras
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