ON THE ISOCLINISM OF A PAIR OF LIE ALGEBRAS AND FACTOR SETS-Reference-Cited by-同舟云学术

ON THE ISOCLINISM OF A PAIR OF LIE ALGEBRAS AND FACTOR SETS

Published:2009-06 Issue:02 Volume:02 Page:213-225
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Moghaddam Mohammad Reza R.¹,Parvaneh Foroud²

Affiliation:

1. Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Centre of Excellence in Analysis on Algebraic Structures, Mashhad, Iran

2. Department of Mathematics, Islamic Azad University of Mashhad, Mashad, Iran

Abstract

In 1940, P. Hall introduced the concept of isoclinism on the class of all groups. In the present article we study the notion of isoclinism on a pair of Lie algebras, which forms an equivalence relation and show that each equivalence class contains a stem pair of Lie algebras, which has minimal dimension among the finite dimensional pairs of Lie algebras. Finally, some more results are obtained when two isoclinic pairs of Lie algebras are given.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557109000182

Reference7 articles.

1. On the structure of n-isoclinism classes of groups

2. Some properties on the Schur multiplier of a pair of groups

3. Some Inequalities for the Order of the Schur Multiplier of a Pair of Groups

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