$\mathbf {5 \times 5}$ -graded Lie algebras, cubic norm structures and quadrangular algebras
Forum of Mathematics, SigmaWe study simple Lie algebras generated by extremal elements, over arbitrary fields of arbitrary characteristic. We show the following: (1) If the extremal geometry contains lines, then the Lie algebra admits a $5 \times 5$ -grading that can be ...
Tom De Medts, Jeroen Meulewaeter
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Local automorphisms of finite dimensional simple Lie algebras
, 2018 Let ${\mathfrak g}$ be a finite dimensional simple Lie algebra over an algebraically closed field $K$ of characteristic $0$. A linear map $\varphi:{\mathfrak g}\to {\mathfrak g}$ is called a local automorphism if for every $x$ in ${\mathfrak g}$ there is
Costantini, Mauro
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Combined system of additive functional equations in Banach algebras
Open MathematicsIn this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end ...
Donganont Siriluk, Park Choonkil
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A Note on Derivations of Lie Algebras
, 2010 In this note, we will prove that a finite dimensional Lie algebra $L$ of characteristic zero, admitting an abelian algebra of derivations $D\leq Der(L)$ with the property $$ L^n\subseteq \sum_{d\in D}d(L) $$ for some $n\geq 1$, is necessarily solvable ...
Shahryari, Mohammad
core
Gradings of null-filiform and naturally graded filiform Leibniz algebras
, 2017 In the paper we describe all gradings admitting on null-filiform and naturally graded filiform Leibniz algebras.Comment: 9 ...
Calderón, Antonio +3 more
core
Hydroclimatic and cultural instability in northeastern North America during the last millennium. [PDF]
PLoS One, 2021 Stager JC +5 more
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Free Poisson fields and their automorphisms [PDF]
, 2016 Makar-Limanov, L., Umirbaev, U.
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Analysis of trabecular distribution of the proximal femur in patients with fragility fractures. [PDF]
BMC Musculoskelet Disord, 2013 Lu Y +5 more
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Distinct frontal and amygdala correlates of change detection for facial identity and expression. [PDF]
Soc Cogn Affect Neurosci, 2016 Achaibou A, Loth E, Bishop SJ.
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Structural and functional consequences of the Milano mutation (R173C) in human apolipoprotein A-I. [PDF]
J Lipid Res, 2009 Alexander ET +5 more
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