Title : ( ON THE ISOCLINISM OF A PAIR OF LIE ALGEBRAS AND FACTOR SETS )
Authors: Mohammad Reza Rajabzadeh Moghaddam , F.Parvaneh ,
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Abstract
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 nite dimensional pairs of Lie algebras. Finally, some more results are obtained when two isoclinic pairs of Lie algebras are given.
Keywords
Isoclinism; Lie algebra; stem pair; factor set.
@article{paperid:1011524,
author = {Rajabzadeh Moghaddam, Mohammad Reza and F.Parvaneh},
title = {ON THE ISOCLINISM OF A PAIR OF LIE ALGEBRAS AND FACTOR SETS},
journal = {Asian-European Journal of Mathematics},
year = {2009},
volume = {02},
number = {2},
month = {June},
issn = {1793-5571},
pages = {213--225},
numpages = {12},
keywords = {Isoclinism; Lie algebra; stem pair; factor set.},
}
%0 Journal Article
%T ON THE ISOCLINISM OF A PAIR OF LIE ALGEBRAS AND FACTOR SETS
%A Rajabzadeh Moghaddam, Mohammad Reza
%A F.Parvaneh
%J Asian-European Journal of Mathematics
%@ 1793-5571
%D 2009
