Nonabelian omni-Lie algebras
Volume 110 / 2016
Banach Center Publications 110 (2016), 167-176
MSC: Primary 17B99; Secondary 53D17.
DOI: 10.4064/bc110-0-11
Abstract
We introduce the notion of a nonabelian omni-Lie algebra associated to a Lie algebra. From a geometric point of view, it is the linearization of the Courant algebroid associated to a Poisson manifold. As an algebraic application, we show that its Dirac structures describe deformations of the Lie algebra.
