Some properties of n-isoclinism in Lie algebras

Authors

  • 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

Keywords:

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

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Published

2011-07-19

How to Cite

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. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5997

Issue

N°28 - July 2011

Section

Articoli - Forum Editrice

License

Copyright (c) 2011 Foroud Parvaneh, Mohammad Reza R. Moghaddam, A. Khaksar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)