Naturally graded (n - 3)-filiform Leibniz algebras

L. M. Camacho; J. R. Gómez; B. A. Omirov

doi:10.1016/j.laa.2010.03.012

Naturally graded (n - 3)-filiform Leibniz algebras

L. M. Camacho^*
, J. R. Gómez
, B. A. Omirov

^*Corresponding author for this work

University of Seville
Academy of Sciences of the Republic of Uzbekistan

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

6 Scopus citations

Abstract

Naturally graded nilpotent p-filiform Leibniz algebras are studied for p ≥ n - 4, where n is the dimension of the algebra. Using linear algebra methods we describe the naturally graded (n - 3)-filiform Leibniz algebras.

Original language	English
Pages (from-to)	433-446
Number of pages	14
Journal	Linear Algebra and Its Applications
Volume	433
Issue number	2
DOIs	https://doi.org/10.1016/j.laa.2010.03.012
State	Published - 1 Aug 2010
Externally published	Yes

Keywords

Characteristic sequence
Leibniz algebra
Lie algebra
Natural gradation
Nilpotence
p-Filiformlicity

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10.1016/j.laa.2010.03.012

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title = "Naturally graded (n - 3)-filiform Leibniz algebras",

abstract = "Naturally graded nilpotent p-filiform Leibniz algebras are studied for p ≥ n - 4, where n is the dimension of the algebra. Using linear algebra methods we describe the naturally graded (n - 3)-filiform Leibniz algebras.",

keywords = "Characteristic sequence, Leibniz algebra, Lie algebra, Natural gradation, Nilpotence, p-Filiformlicity",

author = "Camacho, \{L. M.\} and G{\'o}mez, \{J. R.\} and Omirov, \{B. A.\}",

year = "2010",

month = aug,

day = "1",

doi = "10.1016/j.laa.2010.03.012",

language = "英语",

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journal = "Linear Algebra and Its Applications",

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T1 - Naturally graded (n - 3)-filiform Leibniz algebras

AU - Camacho, L. M.

AU - Gómez, J. R.

AU - Omirov, B. A.

PY - 2010/8/1

Y1 - 2010/8/1

N2 - Naturally graded nilpotent p-filiform Leibniz algebras are studied for p ≥ n - 4, where n is the dimension of the algebra. Using linear algebra methods we describe the naturally graded (n - 3)-filiform Leibniz algebras.

AB - Naturally graded nilpotent p-filiform Leibniz algebras are studied for p ≥ n - 4, where n is the dimension of the algebra. Using linear algebra methods we describe the naturally graded (n - 3)-filiform Leibniz algebras.

KW - Characteristic sequence

KW - Leibniz algebra

KW - Lie algebra

KW - Natural gradation

KW - Nilpotence

KW - p-Filiformlicity

UR - https://www.scopus.com/pages/publications/77953138701

U2 - 10.1016/j.laa.2010.03.012

DO - 10.1016/j.laa.2010.03.012

M3 - 文章

AN - SCOPUS:77953138701

SN - 0024-3795

VL - 433

SP - 433

EP - 446

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 2

ER -

Naturally graded (n - 3)-filiform Leibniz algebras

Abstract

Keywords

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