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Adjoint cohomology of Lie algebra commutes with direct sum?
The Witt algebra (denoted by $W$) is an infinite dimensional Lie algebra as:
$[L_{m},L_{n}]=(m-n)L_{m+n}; \,\,\,\ m, n\in \mathbb{Z}$.
I am looking for second adjoint cohomology $H^{2}(W_{1}\oplus ...
