Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less Than or Equal to 2

摘要

We introduce the notion of (super-)multiplier-ranks 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 Lie superalgebras.