On solvable Lie and Leibniz superalgebras with maximal codimension of nilradical

L. M. Camacho; R. M. Navarro; B. A. Omirov

doi:10.1016/j.jalgebra.2021.10.029

On solvable Lie and Leibniz superalgebras with maximal codimension of nilradical

L. M. Camacho^*
, R. M. Navarro
, B. A. Omirov

^*Corresponding author for this work

University of Seville
University of Extremadura
National University of Uzbekistan named after Mirzo Ulugbek

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	500-522
Number of pages	23
Journal	Journal of Algebra
Volume	591
DOIs	https://doi.org/10.1016/j.jalgebra.2021.10.029
State	Published - 1 Feb 2022
Externally published	Yes

Keywords

Derivations
Nilpotent Leibniz superalgebras
Nilpotent Lie superalgebras
Solvable Leibniz superalgebras
Solvable Lie superalgebras

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10.1016/j.jalgebra.2021.10.029

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title = "On solvable Lie and Leibniz superalgebras with maximal codimension of nilradical",

abstract = "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.",

keywords = "Derivations, Nilpotent Leibniz superalgebras, Nilpotent Lie superalgebras, Solvable Leibniz superalgebras, Solvable Lie superalgebras",

author = "Camacho, \{L. M.\} and Navarro, \{R. M.\} and Omirov, \{B. A.\}",

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doi = "10.1016/j.jalgebra.2021.10.029",

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AU - Camacho, L. M.

AU - Navarro, R. M.

AU - Omirov, B. A.

PY - 2022/2/1

Y1 - 2022/2/1

N2 - 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.

AB - 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.

KW - Derivations

KW - Nilpotent Leibniz superalgebras

KW - Nilpotent Lie superalgebras

KW - Solvable Leibniz superalgebras

KW - Solvable Lie superalgebras

UR - https://www.scopus.com/pages/publications/85118900621

U2 - 10.1016/j.jalgebra.2021.10.029

DO - 10.1016/j.jalgebra.2021.10.029

M3 - 文章

AN - SCOPUS:85118900621

SN - 0021-8693

VL - 591

SP - 500

EP - 522

JO - Journal of Algebra

JF - Journal of Algebra

ER -

On solvable Lie and Leibniz superalgebras with maximal codimension of nilradical

Abstract

Keywords

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