Classification of nilpotent Lie superalgebras of multiplier-rank $\le 2$

Abstract

In this paper, we introduce the concept of (super-)multiplier-rank for Lie superalgeras and classify all the finite-dimensional nilpotent Lie superalgebras of multiplier-rank $\le 2$ over an algebraically closed field of characteristic zero. In the process, we also determine the multipliers of Heisenberg superalgebras.

arXiv comment15 pages

References in corpus (1)

• A note on the Schur multiplier of a nilpotent Lie algebra

Cited by in corpus (3)

• On multipliers of pairs of Lie superalgebras
• The Schur multiplier of an $n$-Lie superalgebra
• Multipliers, Covers and Stem Extensions for Lie Superalgebras