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Crossed extensions of Lie algebras. (arXiv:1812.10680v1 [math.RA])
来源于:arXiv
It is known that Hochschild cohomology groups are represented by crossed
extensions of associative algebras. In this paper, we introduce crossed
$n$-fold extensions of a Lie algebra $\mathfrak{g}$ by a module $M$, for $n
\geq 2$. The equivalence classes of such extensions are represented by the
$(n+1)$-th Chevalley-Eilenberg cohomology group $H^{n+1}_{CE} (\mathfrak{g},
M).$ 查看全文>>