∆-PRIMITIVE ELEMENTS OF FREE METABELIAN LIE ALGEBRAS

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Mathematical Sciences and Applications E-Notes
Volume: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 : 35 | Download : 12

Publication Date : 2013-12-01

Article Type : Research Paper

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 elements
Keywords : Primitive element, Free metabelian Lie algebra

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