Title of article
On dimension of a special subalgebra of derivations of nilpotent Lie algebras
Author/Authors
Sheikh-Mohseni ، S. - Islamic Azad University, Mashhad Branch , Saeedi ، F. - Islamic Azad University, Mashhad Branch
Pages
15
From page
79
To page
93
Abstract
Let L be a Lie algebra, Der(L) be the set of all derivations of L and Derc(L) denote the set of all derivations α∈Der(L) for which α(x)∈[x,L]:={[x,y]|y∈L} for all x∈L. We obtain an upper bound for dimension of Derc(L) of the finite dimensional nilpotent Lie algebra L over algebraically closed fields. Also, we classify all finite dimensional nilpotent Lie algebras L over algebraically closed fields for which dimDerc(L) attains its maximum value.
Keywords
Lie algebra , derivation , nilpotent Lie algebra
Journal title
Bulletin of the Iranian Mathematical Society
Serial Year
2017
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2456161
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