2008/05/31 by Z. Chen, Zhuo Chen, Z. Liu +3 · 12 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Automorphism #Automorphism group #Homotopy and Cohomology in Algebraic Topology #Isomorphism (crystallography) #hep-th #math-ph #math.DG #math.MP
paper · pdf · doi:10.1093/imrn/rnq053
published in International Mathematics Research Notices (Oxford University Press) · 29 pages, no figure
openalex publication_date 2010/03/22 · arxiv created 2011/01/08 · arxiv updated 2011/02/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we introduce the notion of E-Courant algebroids, where E is a vector bundle. It is a kind of generalized Courant algebroid and contains Courant algebroids, Courant–Jacobi algebroids and omni-Lie algebroids as its special cases. We explore novel phenomena exhibited by E-Courant algebroids and provide many examples. We study the automorphism groups of omni-Lie algebroids and classify the isomorphism classes of exact E-Courant algebroids. In addition, we introduce the concepts of E-Lie bialgebroids and Manin triples.