2012/06/24 by Melchior Grützmann, Xiaomeng Xu, Grützmann, Melchior +1
Mathematics · #53B99 #53D17 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1206.5466
openalex publication_date 2012/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give numerous examples of almost Lie algebroids arising as Dirac structures in pre-Courant algebroids, e.g. from twisted Poisson structures, as well as from twisted actions of a Lie algebra. We moreover define a cohomology for them, motivated by a Q-structure, that is trivial for (bundles of) Lie algebras but characterizes the underlying integrable distribution the image of the anchor map.