Some irreducible components of the variety of complex (n+1)-dimensional Leibniz algebras

A. Kh Khudoyberdiyev; M. Ladra; K. K. Masutova; B. A. Omirov

doi:10.1016/j.geomphys.2017.07.014

Some irreducible components of the variety of complex (n+1)-dimensional Leibniz algebras

A. Kh Khudoyberdiyev^*
, M. Ladra
, K. K. Masutova
, B. A. Omirov

^*Corresponding author for this work

National University of Uzbekistan named after Mirzo Ulugbek
University of Santiago de Compostela

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

2 Scopus citations

Abstract

In the present paper we indicate some Leibniz algebras whose closures of orbits under the natural action of GL_n form an irreducible component of the variety of complex (n+1)-dimensional Leibniz algebras. Moreover, for these algebras we calculate the bases of their second cohomology groups.

Original language	English
Pages (from-to)	228-246
Number of pages	19
Journal	Journal of Geometry and Physics
Volume	121
DOIs	https://doi.org/10.1016/j.geomphys.2017.07.014
State	Published - Nov 2017
Externally published	Yes

Keywords

Degeneration
Irreducible component
Leibniz 2-cocycle
Leibniz algebra
Nilradical
Solvable algebra

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10.1016/j.geomphys.2017.07.014

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title = "Some irreducible components of the variety of complex (n+1)-dimensional Leibniz algebras",

abstract = "In the present paper we indicate some Leibniz algebras whose closures of orbits under the natural action of GLn form an irreducible component of the variety of complex (n+1)-dimensional Leibniz algebras. Moreover, for these algebras we calculate the bases of their second cohomology groups.",

keywords = "Degeneration, Irreducible component, Leibniz 2-cocycle, Leibniz algebra, Nilradical, Solvable algebra",

author = "Khudoyberdiyev, \{A. Kh\} and M. Ladra and Masutova, \{K. K.\} and Omirov, \{B. A.\}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier B.V.",

year = "2017",

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doi = "10.1016/j.geomphys.2017.07.014",

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volume = "121",

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T1 - Some irreducible components of the variety of complex (n+1)-dimensional Leibniz algebras

AU - Khudoyberdiyev, A. Kh

AU - Ladra, M.

AU - Masutova, K. K.

AU - Omirov, B. A.

PY - 2017/11

Y1 - 2017/11

N2 - In the present paper we indicate some Leibniz algebras whose closures of orbits under the natural action of GLn form an irreducible component of the variety of complex (n+1)-dimensional Leibniz algebras. Moreover, for these algebras we calculate the bases of their second cohomology groups.

AB - In the present paper we indicate some Leibniz algebras whose closures of orbits under the natural action of GLn form an irreducible component of the variety of complex (n+1)-dimensional Leibniz algebras. Moreover, for these algebras we calculate the bases of their second cohomology groups.

KW - Degeneration

KW - Irreducible component

KW - Leibniz 2-cocycle

KW - Leibniz algebra

KW - Nilradical

KW - Solvable algebra

UR - https://www.scopus.com/pages/publications/85027849745

U2 - 10.1016/j.geomphys.2017.07.014

DO - 10.1016/j.geomphys.2017.07.014

M3 - 文章

AN - SCOPUS:85027849745

SN - 0393-0440

VL - 121

SP - 228

EP - 246

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

Some irreducible components of the variety of complex (n+1)-dimensional Leibniz algebras

Abstract

Keywords

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