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arXiv · 0907.4780

Commutative 2-cocycles on Lie algebras

Askar Dzhumadil'daev·Pasha Zusmanovich
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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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Askar Dzhumadil'daev, Pasha Zusmanovich. 2018-05-01. Commutative 2-cocycles on Lie algebras. https://doi.org/10.1016/j.jalgebra.2010.04.030

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