Results 31 to 40 of about 394 (56)
$\mathbf {5 \times 5}$ -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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Infinite-Dimensional Lie Algebras of Generalized Block Type [PDF]
, 1999 This paper investigates a class of infinite-dimensional Lie algebras over a field of characteristic 0 which are called here Lie algebras of generalized Block type, and which generalize a class of Lie algebras originally defined by Richard Block.
Osborn, J. Marshall, Zhao, Kaiming
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Lie algebras simple with respect to a Taft algebra action
, 2018 We classify finite dimensional $H_{m^2}(\zeta)$-simple $H_{m^2}(\zeta)$-module Lie algebras $L$ over an algebraically closed field of characteristic $0$ where $H_{m^2}(\zeta)$ is the $m$th Taft algebra.
Gordienko, Alexey
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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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Outer endomorphisms of free metabelian Lie algebras [PDF]
, 2011 2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.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 ...
Findik, Sehmus
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Automorphism Group of a Non-Associative Algebra I [PDF]
, 2008 Automorphisms of a Weyl-type non-associative subalgebra of WNn;m;s were studied in [2], [3], [4], [12], [13]. There are various papers on the automorphism groups of an associative algebra, a Lie algebra, and a non-associative algebra [4], [5], [11].
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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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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
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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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