Cohomology of $\mathbb{N}$-graded Lie algebras of maximal class over ${\mathbb{Z}}_2$

Yuri Nikolayevsky, Ioannis Tsartsaflis

We compute the cohomology with trivial coefficients of Lie algebras ${\mathfrak{m}}_0$ and ${\mathfrak{m}}_2$ of maximal class over the field ${\mathbb{Z}}_2$. In the infinite-dimensiona…