On Exact Courant Algebras |
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| Authors: | Ashis Mandal |
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| Institution: | 1. Department of Mathematics and Statistics, Indian Institute of Technology, Kanpur, Indiaamandal@iitk.ac.in ashismandal.r@gmail.com |
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| Abstract: | In this note, we will show that exact Courant algebras over a Lie algebra 𝔤 can be characterized 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 𝔤. |
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| Keywords: | Courant algebra Cohomology of Leibniz algebras Leibniz algebra Lie algebra |
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