Total cohomology of solvable Lie algebras and linear deformations

Leandro Cagliero, Paulo Tirao

Given a finite dimensional Lie algebra $\mathfrak{g}$, let ${\Gamma }_{\circ }(\mathfrak{g})$ be the set of irreducible $\mathfrak{g}$-modules with non-vanishing cohomology. We prove that a $…