Description de la structure de certaines superalgèbres de Lie quadratiques via la notion de $T^{\ast }$-extension

Ignacio Bajo, Said Benayadi, Martin Bordemann

In this note we introduce the notion of $T^{\ast }-$extension $T^{\ast }\mathfrak{g}$ of a Lie superalgebra $\mathfrak{g}$, i.e. an extension of $\mathfrak{g}$ by its dual space ${\mathfrak…