Some properties of n-isoclinism in Lie algebras

Foroud Parvaneh; Mohammad Reza R. Moghaddam; A. Khaksar

Some properties of n-isoclinism in Lie algebras

Autori

Foroud Parvaneh Islamic Azad University - Department of Mathematics
Mohammad Reza R. Moghaddam Islamic Azad University - Department of Mathematics
A. Khaksar Ferdowsi University of Mashhad - Department of Mathematics

Parole chiave:

n-isoclinism, Lie algebra, n-stem Lie algebra

Abstract

In 1940, P. Hall introduced the concept of isoclinism of groups and it was generalized to n-isoclinism and isologism with respect to a given variety of groups. In the present article this notion is studied in Lie algebras and give some results similar to N.S. Hekster in 1986. In particular, it is shown that every family of n-isoclinism of Lie algebras contains an n-stem Lie algebra of minimal dimension.

Cover of n°28 Italian Journal of Pure and Applied Mathematics

Downloads

PDF (English)

Pubblicato

2011-07-19

Come citare

Parvaneh, F., Moghaddam, M. R. R., & Khaksar, A. (2011). Some properties of n-isoclinism in Lie algebras. Italian Journal of Pure and Applied Mathematics, 28, 165–176. Recuperato da https://journals.uniurb.it/index.php/ijpam/article/view/5997