Journal of Lie Theory

no. 4
Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less Than or Equal to 2
Journal of Lie Theory, Volume 30 (2020) no. 4, pp. 1047-1060
We introduce the notion of (super-)multiplier-ranks for Lie superalgebras and classify all the finite-dimensional nilpotent Lie superalgebras of multiplier-rank less or equal to 2 over an algebraically closed field of characteristic zero. In the process, we also determine the multipliers of Heisenberg Lie superalgebras.
DOI: 10.5802/jolt.1150
Classification: 17B05, 17B30, 17B56
Keywords: Lie superalgebra, multipliers, super-multiplier-rank 
@article{JOLT_2020_30_4_a7,
     author = {W. Liu and Y. Zhang},
     title = {Classification of  {Nilpotent} {Lie} {Superalgebras} of {Multiplier-Rank} {Less} {Than} or {Equal} to 2},
     journal = {Journal of Lie Theory},
     pages = {1047--1060},
     year = {2020},
     volume = {30},
     number = {4},
     doi = {10.5802/jolt.1150},
     zbl = {1472.17020},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1150/}
}
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%A Y. Zhang
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W. Liu; Y. Zhang. Classification of  Nilpotent Lie Superalgebras of Multiplier-Rank Less Than or Equal to 2. Journal of Lie Theory, Volume 30 (2020) no. 4, pp. 1047-1060. doi: 10.5802/jolt.1150

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