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Some properties of isoclinisms of Lie algebra crossed modules

A. Allahyari

Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

E-mail Address: Allahyari.math@yahoo.com

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and

F. Saeedi

Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

E-mail Address: saeedi@mshdiau.ac.ir

Corresponding author.

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https://doi.org/10.1142/S1793557120500552Cited by:1 (Source: Crossref)

Abstract

Let $L$ be a Lie algebra crossed module. In this paper, we shall introduce a chain of crossed modules of $Act (L)$ and show that if $M$ and $L$ are two isoclinic crossed modules, then ${ID}^{*} Act (L) ≅ {ID}^{*} Act (M)$ .

Communicated by J. Koppitz

Keywords:

AMSC: 17B40, 17B99

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