Geodesic
Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less Than or Equal to 2
Journal of Lie theory, Tome 30 (2020) no. 4, pp. 1047-106
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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.
Classification : 17B05, 17B30, 17B56
Mots-clés : Lie superalgebra, multipliers, super-multiplier-rank 
@article{JLT_2020_30_4_JLT_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--106},
     year = {2020},
     volume = {30},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2020_30_4_JLT_2020_30_4_a7/}
}
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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, Tome 30 (2020) no. 4, pp. 1047-106. http://geodesic.mathdoc.fr/item/JLT_2020_30_4_JLT_2020_30_4_a7/