On exact Courant algebras

Abstract

In this note we will show that exact Courant algebras over a Lie algebra $\mathfrak{g}$ can be characterised via Leibniz $2$- cocycles, and the automorphism group of a given exact Courant algebra is in a one-to-one correspondence with first Leibniz cohomology space of $\mathfrak{g}$.

References in corpus (2)

• Reduction of Courant algebroids and generalized complex structures
• Courant Algebroids and Strongly Homotopy Lie Algebras