On solvable Lie and Leibniz superalgebras with maximal codimension of nilradical

被引：6

作者：

Camacho, L. M. ^{[1
]}

Navarro, R. M. ^{[2
]}

Omirov, B. A. ^{[3
]}

机构：

[1] Univ Seville, Dept Matemat Aplicada 1, Seville, Spain

[2] Univ Extremadura, Dept Matemat, Caceres, Spain

[3] Natl Univ Uzbekistan, Inst Math, Tashkent, Uzbekistan

来源：

JOURNAL OF ALGEBRA | 2022年 / 591卷

关键词：

Solvable Lie superalgebras; Solvable Leibniz superalgebras; Derivations; Nilpotent Lie superalgebras; Nilpotent Leibniz superalgebras; DIMENSION LESS; ALGEBRAS; CLASSIFICATION; NILPOTENT; DEFORMATIONS; VARIETIES;

D O I：

10.1016/j.jalgebra.2021.10.029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Along this paper we show that under certain conditions the method for describing of solvable Lie and Leibniz algebras with maximal codimension of nilradical is also extensible to Lie and Leibniz superalgebras, respectively. In particular, we totally determine the solvable Lie and Leibniz superalgebras with maximal codimension of model filiform and model nilpotent nilradicals. Finally, it is established that the superderivations of the obtained superalgebras are inner. (C) 2021 The Authors. Published by Elsevier Inc.

引用

页码：500 / 522

页数：23

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