System of roots of very special sandwich algebras

This paper continues the study of very special sandwich algebras. We show that a class of very special sandwich algebras has an analogue of a root system of a semisimple Lie algebra. This leads to an analogue of a Weyl group, which we study in another paper

The Weyl group of a very special sandwich algebra of class C\mathcal{C}

This paper constructs a Weyl group $W_{\widetilde{\mathfrak{g}}}$ of a very special sandwich algebra $\widetilde{\mathfrak{g}}$ of class $\mathcal{C}$