Title of article
Non-additive Lie centralizer of infinite strictly upper triangular matrices
Author/Authors
Hadj ، D. A. Aiat - Centre Regional des Metiers d Education et de Formation (CRMEF)
Pages
5
From page
251
To page
255
Abstract
Let $mathcal{F}$ be an field of zero characteristic and $N_{infty}(mathcal{F})$ be the algebra of infinite strictly upper triangular matrices with entries in $mathcal{F}$, and $f:N_{infty}(mathcal{F})rightarrow N_{infty}(mathcal{F})$ be a nonadditive Lie centralizer of $N_{infty }(mathcal{F})$; that is, a map satisfying that $f([X,Y])=[f(X),Y]$ for all $X,Yin N_{infty}(mathcal{F})$. We prove that $f(X)=lambda X$, where $lambda in mathcal{F}$.
Keywords
Lie centralizer , strictly upper triangular matrices , commuting map
Journal title
Journal of Linear and Topological Algebra
Serial Year
2019
Journal title
Journal of Linear and Topological Algebra
Record number
2469898
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