Commutative 2-cocycles on Lie algebras

Details Commutative 2-cocycles on Lie algebras Commutative 2-cocycles on Lie algebras

2009-07-27

arxiv.org/abs/0907.4780v4

J. Algebra 324 (2010), 732-748

Mathematics

Rings and Algebras

v4: added footnote correcting Lemmata 5.3 and 5.4

Scientific paper

10.1016/j.jalgebra.2010.04.030

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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