Commutative 2-cocycles on Lie algebras
Rings and Algebras
2018-05-02 v7
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.
Cite
@article{arxiv.0907.4780,
title = {Commutative 2-cocycles on Lie algebras},
author = {Askar Dzhumadil'daev and Pasha Zusmanovich},
journal= {arXiv preprint arXiv:0907.4780},
year = {2018}
}
Comments
v7: minor changes; added ancillary file with GAP code