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Varieties of nilpotent Lie superalgebras of dimension ≤ 5
Forum Mathematicum ( IF 0.8 ) Pub Date : 2020-05-01 , DOI: 10.1515/forum-2019-0244
María Alejandra Alvarez 1 , Isabel Hernández 2
Affiliation  

Abstract In this paper, we study the varieties of nilpotent Lie superalgebras of dimension ≤ 5 {\leq 5} . We provide the algebraic classification of these superalgebras and obtain the irreducible components in every variety. As a byproduct, we construct rigid nilpotent Lie superalgebras of arbitrary dimension.

中文翻译:

维数≤ 5 的幂零李超代数的种类

摘要 本文研究了维数≤ 5 {\leq 5} 的幂零李超代数。我们提供了这些超代数的代数分类,并获得了每种类型的不可约分量。作为副产品,我们构造了任意维数的刚性幂零李超代数。
更新日期:2020-05-01
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