Noncommutative geometry; Almost commuative algebras; Lie algebroids
Résumé :
[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.
Disciplines :
Mathématiques
Auteur, co-auteur :
BRUCE, Andrew ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
Almost Commutative Q-algebras and Derived brackets
