In mathematics, a quasi-Frobenius Lie algebra
over a field is a Lie algebra
equipped with a nondegenerate skew-symmetric bilinear form
- , which is a Lie algebra 2-cocycle of with values in . In other words,
for all, in .
If is a coboundary, which means that there exists a linear form such that
then
is called a Frobenius Lie algebra.
Read more about Quasi-Frobenius Lie Algebra: Equivalence With Pre-Lie Algebras With Nondegenerate Invariant Skew-symmetric Bilinear Form
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