Homogeneous irreducible supermanifolds and graded Lie superalgebras

D. V. Alekseevsky, A. Santi

A depth one grading $\mathfrak{g}={\mathfrak{g}}^{-1}\oplus {\mathfrak{g}}^0\oplus {\mathfrak{g}}^1\oplus \cdots \oplus {\mathfrak{g}}^{\ell }$ of a finite dimensional Lie superalgebra $…