Some properties of n-isoclinism in Lie algebras
Keywords:
n-isoclinism, Lie algebra, n-stem Lie algebraAbstract
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.
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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
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Section
Articoli - Forum Editrice
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Copyright (c) 2011 Foroud Parvaneh, Mohammad Reza R. Moghaddam, A. Khaksar
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)
