Varieties of Nilpotent Lie Superalgebras of dimension $\le 5$

Abstract

In this paper we study the varieties of nilpotent Lie superalgebras of dimension $\le 5$. We provide the algebraic classification of these superalgebras and obtain the irreducible components in every variety. As a by product we construct rigid nilpotent Lie superalgebras of arbitrary dimension.

References in corpus (7)

• Contractions of Low-Dimensional Lie Algebras
• Contractions of low-dimensional nilpotent Jordan algebras
• Graded contractions of the Pauli graded sl(3,C)
• Degenerations of Jordan Superalgebras
• Degenerations of Jordan Algebras and ''Marginal'' Algebras
• There are no rigid filiform Lie algebras of low dimension
• Moduli spaces of low dimensional Lie superalgebras