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Commutative 2-cocycles on Lie algebras

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Published Article
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DOI: 10.1016/j.jalgebra.2010.04.030
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arXiv
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Abstract

On Lie algebras, we study commutative 2-cocycles, i.e., symmetric bilinear forms satisfying the usual cocycle equation. We note their relationship with antiderivations and compute them for some classes of Lie algebras, including finite-dimensional semisimple, current and Kac-Moody algebras.

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