On exact Courant algebras

2014/07/18 by Ashis Kumar Mandal, Mandal, Ashis
Mathematics · #17B55 #17D #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1407.4963

openalex publication_date 2014/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note we will show that exact Courant algebras over a Lie algebra \mathfrakg 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 \mathfrakg.

Citations

• Universal enveloping algebras of Leibniz algebras and (co)homology

Related

• Some remarks about the second Leibniz cohomology group for Lie algebras
• Cohomology and deformations of Courant pairs
• On the second cohomology group of simple Leibniz algebras
• H-standard cohomology for Courant-Dorfman algebras and Leibniz algebras
• About Leibniz cohomology and deformations of Lie algebras