P-Filiform Leibniz algebras of maximum length

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

doi:10.1016/j.laa.2014.03.004

P-Filiform Leibniz algebras of maximum length

L. M. Camacho^*
, E. M. Cañete
, 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

5 Scopus citations

Abstract

The descriptions (up to isomorphism) of naturally graded p-filiform Leibniz algebras and p-filiform (p≤3) Leibniz algebras of maximum length are known. In this paper we study the gradation of maximum length for p-filiform Leibniz algebras. The present work aims at the classification of complex p-filiform (p≥4) Leibniz algebras of maximum length.

Original language	English
Pages (from-to)	316-333
Number of pages	18
Journal	Linear Algebra and Its Applications
Volume	450
DOIs	https://doi.org/10.1016/j.laa.2014.03.004
State	Published - 1 Jun 2014
Externally published	Yes

Keywords

Characteristic sequence
Gradation of maximum length
Leibniz algebra
Lie algebra
Natural gradation
Nilpotency
p-Filiform

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10.1016/j.laa.2014.03.004

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abstract = "The descriptions (up to isomorphism) of naturally graded p-filiform Leibniz algebras and p-filiform (p≤3) Leibniz algebras of maximum length are known. In this paper we study the gradation of maximum length for p-filiform Leibniz algebras. The present work aims at the classification of complex p-filiform (p≥4) Leibniz algebras of maximum length.",

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doi = "10.1016/j.laa.2014.03.004",

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AU - Camacho, L. M.

AU - Cañete, E. M.

AU - Gómez, J. R.

AU - Omirov, B. A.

PY - 2014/6/1

Y1 - 2014/6/1

N2 - The descriptions (up to isomorphism) of naturally graded p-filiform Leibniz algebras and p-filiform (p≤3) Leibniz algebras of maximum length are known. In this paper we study the gradation of maximum length for p-filiform Leibniz algebras. The present work aims at the classification of complex p-filiform (p≥4) Leibniz algebras of maximum length.

AB - The descriptions (up to isomorphism) of naturally graded p-filiform Leibniz algebras and p-filiform (p≤3) Leibniz algebras of maximum length are known. In this paper we study the gradation of maximum length for p-filiform Leibniz algebras. The present work aims at the classification of complex p-filiform (p≥4) Leibniz algebras of maximum length.

KW - Characteristic sequence

KW - Gradation of maximum length

KW - Leibniz algebra

KW - Lie algebra

KW - Natural gradation

KW - Nilpotency

KW - p-Filiform

UR - https://www.scopus.com/pages/publications/84898072687

U2 - 10.1016/j.laa.2014.03.004

DO - 10.1016/j.laa.2014.03.004

M3 - 文章

AN - SCOPUS:84898072687

SN - 0024-3795

VL - 450

SP - 316

EP - 333

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

P-Filiform Leibniz algebras of maximum length

Abstract

Keywords

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