On Some Almost Quadratic Algebras Coming from Twisted Derivations
, 2006 This paper explores the quasi-deformation scheme devised in [1, 3] as applied to the simple Lie algebra for specific choices of the involved parameters and underlying algebras.
Daniel S. D. Larsson +2 more
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A FIXED POINT THEOREM FOR VOLUME PRESERVING LINEAR TRANSFORMATIONS
, 2016 In this note we derive consequences of the fact that if g ∈ SL(n), where n ≥ 2, and σi(g) are the coefficients of its characteristic polynomial, then g has 1 as an eigenvalue if and only if ∑ n−1 i=1 (−1) σi(g) = 0 or 2 according to the parity of n ...
M. Moskowitz
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$\mathbf {5 \times 5}$ -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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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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Continuity of Lie mappings of the skew elements of Banach algebras with involution
, 1998 Let A and B be centrally closed prime complex Banach algebras with linear involution. If A is semisimple, then any Lie derivation of the skew elements of A is continuous and any Lie isomorphism from the skew elements of B onto the skew elements of A is ...
M. I. Berenguer, A. Villena
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Hydroclimatic and cultural instability in northeastern North America during the last millennium. [PDF]
PLoS One, 2021 Stager JC +5 more
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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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Commentary to: Generalized derivations of Lie triple systems
Open Mathematics, 2016 Kaygorodov Ivan, Popov Yury
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