Mathematics – Differential Geometry
Scientific paper
2012-02-13
Mathematics
Differential Geometry
Scientific paper
We define the notion of action of an L-infinity algebra $g$ on a graded manifold $M$, and show that such an action corresponds to a homological vector field on $g[1] \times M$ of a specific form. This generalizes the correspondence between Lie algebra actions on manifolds and transformation Lie algebroids. In particular, we consider actions of $g$ on a second L-infinity algebra, leading to a notion of "semidirect product"of L-infinity algebras more general than those we found in the literature.
Mehta Rajan
Zambon Marco
No associations
LandOfFree
L-infinity algebra actions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with L-infinity algebra actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and L-infinity algebra actions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-680840