Results 11 to 20 of about 337 (30)

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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On the hom-associative Weyl algebras

, 2020
The first (associative) Weyl algebra is formally rigid in the classical sense. In this paper, we show that it can however be formally deformed in a nontrivial way when considered as a so-called hom-associative algebra, and that this deformation preserves
Bäck, Per, Richter, Johan
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Bi-quartic parametric polynomial minimal surfaces

, 2015
Minimal surfaces with isothermal parameters admitting B\'{e}zier representation were studied by Cosin and Monterde. They showed that, up to an affine transformation, the Enneper surface is the only bi-cubic isothermal minimal surface.
Kassabov, Ognian, Vlachkova, Krassimira
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The automorphism groups and derivation algebras of two-dimensional algebras

, 2018
The automorphisms groups and derivation algebras of all two-dimensional algebras over algebraically closed fields are described.Comment: A type-mistake in $A_{3,2}(\mathbf{c})$ case, page 4, and its consequences are are ...
Ahmed, H., Bekbaev, U., Rakhimov, I.
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Vogan diagrams of affine twisted Lie superalgebras

, 2013
A Vogan diagram is a Dynkin diagram with a Cartan involution of twisted affine superlagebras based on maximally compact Cartan subalgebras. This article construct the Vogan diagrams of twisted affine superalgebras.
Ransingh, Biswajit
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6-dimensional product Lie algebras admitting integrable complex structures

, 2017
We classify the 6-dimensional Lie algebras of the form $g\times g$ that admit integrable complex structure. We also endow a Lie algebra of the kind $o(n)\oplus o(n)$ with such a complex structure.
Czarnecki, Andrzej, Sroka, Marcin
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Poisson C*-algebra derivations in Poisson C*-algebras

Demonstratio Mathematica
In this study, we introduce the following additive functional equation:g(λu+v+2y)=λg(u)+g(v)+2g(y)g\left(\lambda u+v+2y)=\lambda g\left(u)+g\left(v)+2g(y) for all λ∈C\lambda \in {\mathbb{C}}, all unitary elements u,vu,v in a unital Poisson C*{C ...
Wang Yongqiao, Park Choonkil, Chang Yuan
doaj   +1 more source

$\mathbf {5 \times 5}$ -graded Lie algebras, cubic norm structures and quadrangular algebras

Forum of Mathematics, Sigma
We 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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