SOME PROPERTIES ON ISOCLINISM IN n-LIE ALGEBRAS

作者:Eshrati Mehdi; Moghaddam Mohammad Reza R*; Saeedi Farshid
来源:Communications in Algebra, 2016, 44(7): 3005-3019.
DOI:10.1080/00927872.2015.1065864

摘要

The concept of n-Lie algebra were introduced by Filippov in 1987. One notes that not all properties of Lie algebras can be carried over to n-Lie algebras, as Williams showed in 2009. In the present article, among other results it is shown that the notions of isoclinism and isomorphism for two finite dimensional n-Lie algebras of the same dimension are equivalent. This was already done for ordinary Lie algebras by Moneyhun in 1994.

  • 出版日期2016