Geodesic
Classification of Nilpotent Lie Superalgebras of Multiplier-Rank Less Than or Equal to 2
Wende Liu1 ; Yanling Zhang2
1School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, P. R. China
2School of Mathematical Sciences, Harbin Normal University, Harbin 150025, P. R. China
Journal of Lie Theory, Tome 30 (2020) no. 4, pp. 1047-1060

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Wende Liu  1   ; Yanling Zhang  2

1 School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, P. R. China
2 School of Mathematical Sciences, Harbin Normal University, Harbin 150025, P. R. China 
Wende Liu; Yanling 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. 1047-1060. http://geodesic.mathdoc.fr/item/JOLT_2020_30_4_a7/
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     author = {Wende Liu and Yanling 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},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2020_30_4_a7/}
}
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