- Mathematical Sciences and Applications E-Notes
- Vol: 1 Issue: 2
- ∆-PRIMITIVE ELEMENTS OF FREE METABELIAN LIE ALGEBRAS
∆-PRIMITIVE ELEMENTS OF FREE METABELIAN LIE ALGEBRAS
Authors : Dilek ERSALAN, Zerrinesmerligil
Pages : 51-55
View : 6 | Download : 3
Publication Date : 2013-12-01
Article Type : Other
Abstract :Let L2be a free metabelian Lie algebra of rank two. We obtaina characterization of ∆-primitive elements of L2. In particular, we prove thatevery endomorphism Φ of L2is an automorhism if and only if Φ takes a ∆primitive element of L2to another ∆-primitive element. Also we show that ina free metabelian Lie algebra of odd rank there are no ∆-primitive elementsKeywords : Primitive element, Free metabelian Lie algebra