Varieties of nilpotent complex Leibniz algebras of dimension less than five

S. Albeverio; B. A. Omirov; I. S. Rakhimov

doi:10.1081/AGB-200061038

Varieties of nilpotent complex Leibniz algebras of dimension less than five

S. Albeverio
, B. A. Omirov^*
, I. S. Rakhimov

^*Corresponding author for this work

University of Bonn
Academy of Sciences of the Republic of Uzbekistan
National University of Uzbekistan named after Mirzo Ulugbek

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

49 Scopus citations

Abstract

The aim of this work is to describe the irreducible components of the nilpotent complex Leibniz algebras varieties of dimension less than 5. We construct degenerations between one-parametric families of nilpotent Leibniz algebras and study the rigidity of these families.

Original language	English
Pages (from-to)	1575-1585
Number of pages	11
Journal	Communications in Algebra
Volume	33
Issue number	5
DOIs	https://doi.org/10.1081/AGB-200061038
State	Published - 2005
Externally published	Yes

Keywords

Degeneration
Irreducible component
Nilpotence
Rigid algebra
Variety of Leibniz algebras

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10.1081/AGB-200061038

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title = "Varieties of nilpotent complex Leibniz algebras of dimension less than five",

abstract = "The aim of this work is to describe the irreducible components of the nilpotent complex Leibniz algebras varieties of dimension less than 5. We construct degenerations between one-parametric families of nilpotent Leibniz algebras and study the rigidity of these families.",

keywords = "Degeneration, Irreducible component, Nilpotence, Rigid algebra, Variety of Leibniz algebras",

author = "S. Albeverio and Omirov, \{B. A.\} and Rakhimov, \{I. S.\}",

year = "2005",

doi = "10.1081/AGB-200061038",

language = "英语",

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T1 - Varieties of nilpotent complex Leibniz algebras of dimension less than five

AU - Albeverio, S.

AU - Omirov, B. A.

AU - Rakhimov, I. S.

PY - 2005

Y1 - 2005

N2 - The aim of this work is to describe the irreducible components of the nilpotent complex Leibniz algebras varieties of dimension less than 5. We construct degenerations between one-parametric families of nilpotent Leibniz algebras and study the rigidity of these families.

AB - The aim of this work is to describe the irreducible components of the nilpotent complex Leibniz algebras varieties of dimension less than 5. We construct degenerations between one-parametric families of nilpotent Leibniz algebras and study the rigidity of these families.

KW - Degeneration

KW - Irreducible component

KW - Nilpotence

KW - Rigid algebra

KW - Variety of Leibniz algebras

UR - https://www.scopus.com/pages/publications/27844564729

U2 - 10.1081/AGB-200061038

DO - 10.1081/AGB-200061038

M3 - 文章

AN - SCOPUS:27844564729

SN - 0092-7872

VL - 33

SP - 1575

EP - 1585

JO - Communications in Algebra

JF - Communications in Algebra

IS - 5

ER -

Varieties of nilpotent complex Leibniz algebras of dimension less than five

Abstract

Keywords

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