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?evera, P. and Weinstein, A. (2001) Poisson Geometry with a 3-Form Background. Progress of The-oretical Physics Supplements, 144, 145-154. Noncommutative Geometry and String Theory (Yokohama, 2001).

has been cited by the following article:

• TITLE: A Class of Lie 2-Algebras in Higher-Order Courant Algebroids

  AUTHORS: Yanhui Bi, Fengying Han, Meili Sun

  KEYWORDS: Higher-Order Courant Algebroids, Higher-Order Dorfman Algebroids, Lie 2-Algebra

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.7, July 22, 2016

  ABSTRACT: In this paper, we study the relation of the algebraic properties of the higher-order Courant bracket and Dorfman bracket on the direct sum bundle TM⊕∧pT*Mfor an m-dimensional smooth manifold M, and a Lie 2-algebra which is a “categorified” version of a Lie algebra. We prove that the higher-order Courant algebroids give rise to a semistrict Lie 2-algebra, and we prove that the higher-order Dorfman algebroids give rise to a hemistrict Lie 2-algebra. Consequently, there is an isomorphism from the higher-order Courant algebroids to the higher-order Dorfman algebroids as Lie 2-algebras homomorphism.