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  7. Outer endomorphisms of free metabelian Lie algebras

Outer endomorphisms of free metabelian Lie algebras

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Authors: Findik, Sehmus
Issue Date: 2011
Citation: Serdica Mathematical Journal, Vol. 37, No 3, (2011), 261p-276p Copy to clipboard
ISSN: 1310-6600
URI: http://hdl.handle.net/10525/2735 Copy to clipboard
Note:

2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.

Abstract: Let Fm be the free metabelian Lie algebra of rank m over a field K of characteristic 0. We consider the semigroup IE(Fm) of the endomorphisms of Fm which are identical modulo the commutator ideal of Fm. We describe the factor semigroup of IE(Fm) modulo the congruence induced by the group of inner automorphisms.
Language: en
Publisher: Institute of Mathematics and Informatics, Bulgarian Academy of SciencesSubject: Free Metabelian Lie AlgebrasInner AutomorphismsOuter Endomorphisms
Type: Article