55 research outputs found
Commutative 2-cocycles on Lie algebras
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.Comment: v7: minor changes; added ancillary file with GAP cod
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