Capability of nilpotent Lie superalgebras of small dimension

Abstract

In this paper, we define a partially capable Lie superalgebra. As an application, we classify all capable nilpotent Lie superalgebras of dimension less than or equal to five.

KEYWORDS:

• Capability
• Heisenberg Lie superalgebra
• multiplier
• non-abelian tensor and exterior product

2020 MATHEMATICS SUBJECT CLASSIFICATION:

• Primary: 17B10
• Secondary: 17B01

Disclosure statement

All authors declare that they have no conflicts of interest that are relevant to the content of this article.