On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops

Alexander Grishkov; Marina Rasskazova; Liudmila Sabinina; Mohamed Salim

doi:10.1016/j.jalgebra.2021.02.004

On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops

Alexander Grishkov, Marina Rasskazova, Liudmila Sabinina, Mohamed Salim

Department of Mathematical Sciences

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

2 Citations (Scopus)

Abstract

In this note we describe the structure of finite-dimensional Malcev algebras over the field of real numbers R, which are nilpotent modulo its Lie center. It is proved that the corresponding analytic global Moufang loops are nilpotent modulo their nucleus.

Original language	English
Pages (from-to)	67-77
Number of pages	11
Journal	Journal of Algebra
Volume	575
DOIs	https://doi.org/10.1016/j.jalgebra.2021.02.004
Publication status	Published - Jun 1 2021

Keywords

Global Moufang loops
Malcev algebras
Moufang loops

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2021.02.004

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title = "On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops",

abstract = "In this note we describe the structure of finite-dimensional Malcev algebras over the field of real numbers R, which are nilpotent modulo its Lie center. It is proved that the corresponding analytic global Moufang loops are nilpotent modulo their nucleus.",

keywords = "Global Moufang loops, Malcev algebras, Moufang loops",

author = "Alexander Grishkov and Marina Rasskazova and Liudmila Sabinina and Mohamed Salim",

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AU - Grishkov, Alexander

AU - Rasskazova, Marina

AU - Sabinina, Liudmila

AU - Salim, Mohamed

PY - 2021/6/1

Y1 - 2021/6/1

N2 - In this note we describe the structure of finite-dimensional Malcev algebras over the field of real numbers R, which are nilpotent modulo its Lie center. It is proved that the corresponding analytic global Moufang loops are nilpotent modulo their nucleus.

AB - In this note we describe the structure of finite-dimensional Malcev algebras over the field of real numbers R, which are nilpotent modulo its Lie center. It is proved that the corresponding analytic global Moufang loops are nilpotent modulo their nucleus.

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KW - Malcev algebras

KW - Moufang loops

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On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops

Abstract

Keywords

ASJC Scopus subject areas

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