On the derivations of filiform Leibniz algebras

B. A. Omirov

doi:10.1007/s11006-005-0068-1

On the derivations of filiform Leibniz algebras

B. A. Omirov^*

^*Corresponding author for this work

Academy of Sciences of the Republic of Uzbekistan

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

17 Scopus citations

Abstract

The algebras of derivations of naturally graded Leibniz algebras are described. The existence of characteristically nilpotent Leibniz algebras in any dimension greater than 4 is proved.

Original language	English
Pages (from-to)	677-685
Number of pages	9
Journal	Mathematical Notes
Volume	77
Issue number	5-6
DOIs	https://doi.org/10.1007/s11006-005-0068-1
State	Published - May 2005
Externally published	Yes

Keywords

Characteristically nilpotent algebra
Derivation
Filiform algebra
Graded Leibniz algebra
Lie algebra

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10.1007/s11006-005-0068-1

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title = "On the derivations of filiform Leibniz algebras",

abstract = "The algebras of derivations of naturally graded Leibniz algebras are described. The existence of characteristically nilpotent Leibniz algebras in any dimension greater than 4 is proved.",

keywords = "Characteristically nilpotent algebra, Derivation, Filiform algebra, Graded Leibniz algebra, Lie algebra",

author = "Omirov, \{B. A.\}",

year = "2005",

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N2 - The algebras of derivations of naturally graded Leibniz algebras are described. The existence of characteristically nilpotent Leibniz algebras in any dimension greater than 4 is proved.

AB - The algebras of derivations of naturally graded Leibniz algebras are described. The existence of characteristically nilpotent Leibniz algebras in any dimension greater than 4 is proved.

KW - Characteristically nilpotent algebra

KW - Derivation

KW - Filiform algebra

KW - Graded Leibniz algebra

KW - Lie algebra

UR - https://www.scopus.com/pages/publications/21644485460

U2 - 10.1007/s11006-005-0068-1

DO - 10.1007/s11006-005-0068-1

M3 - 文章

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SN - 0001-4346

VL - 77

SP - 677

EP - 685

JO - Mathematical Notes

JF - Mathematical Notes

IS - 5-6

ER -

On the derivations of filiform Leibniz algebras

Abstract

Keywords

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