Classification of nilpotent Lie superalgebras of multiplier-rank ≤ 2

2018/07/24 by Liu, Wende, Zhang, Yingling
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1807.08884

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 ≤ 2 over an algebraically closed field of characteristic zero. In the process, we also determine the multipliers of Heisenberg superalgebras.

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