Reference : Almost Commutative Q-algebras and Derived brackets
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Almost Commutative Q-algebras and Derived brackets
Bruce, Andrew mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
In press
Journal of Noncommutative Geometry
European Mathematical Society
[en] Noncommutative geometry ; Almost commuative algebras ; Lie algebroids
[en] We introduce the notion of almost commutative Q-algebras and demonstrate how the derived
bracket formalism of Kosmann-Schwarzbach generalises to this setting. In particular, we construct ‘almost commutative Lie algebroids’ following Vaintrob’s Q-manifold understanding of classical Lie algebroids. We show that the basic tenets of the theory of Lie algebroids carry over verbatim to the almost commutative world.

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