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On the low-dimensional cohomology of some infinite-dimensional simple Lie algebras

On the low-dimensional cohomology of some infinite-dimensional simple Lie algebras

A jt f if and [h i9 h s ] = 0, for 1 ^ if j ^ ϊ.It turns out JZ? has a unique maximal ideal & (see [2] and [10] for a description) and we let £? denote the corresponding simple factor algebra, and again let e t …