Results 71 to 80 of about 297,928 (181)
On derivations of linear algebras of a special type
Дифференциальная геометрия многообразий фигурIn this work, Lie algebras of differentiation of linear algebra, the operation of multiplication in which is defined using a linear form and two fixed elements of the main field are studied. In the first part of the work, a definition of differentiation
A. Ya. Sultanov +2 more
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Elliptic multiple zeta values, Grothendieck-Teichm\"uller and mould theory
, 2019 In this article we define an elliptic double shuffle Lie algebra $ds_{ell}$ that generalizes the well-known double shuffle Lie algebra $ds$ to the elliptic situation.
Schneps, Leila
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Solvable complemented Lie algebras [PDF]
Proceedings of the American Mathematical Society, 2012 In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition. The class of such algebras is shown to be a formation whose residual is the ideal closure of the prefrattini subalgebras.
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Some properties of Camina and $n$-Baer Lie algebras [PDF]
Journal of Mahani Mathematical ResearchLet $I$ be a non-zero proper ideal of a Lie algebra $L$. Then $(L, I)$ is called a Camina pair if $I \subseteq [x,L]$, for all $x \in L\setminus I$. Also, $L$ is called a Camina Lie algebra if $(L, L^2)$ is a Camina pair. We first give some properties of
Maryam Ghezelsoflo +3 more
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Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy
Abstract and Applied Analysis, 2014 With the help of the known Lie algebra, a type of new 8-dimensional matrix Lie algebra is constructed in the paper. By using the 8-dimensional matrix Lie algebra, the nonlinear integrable couplings of the Levi hierarchy and the Wadati-Konno-Ichikawa (WKI)
Zhengduo Shan, Hongwei Yang, Baoshu Yin
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Universal Algebra of a Hom-Lie Algebra and group-like elements
, 2015 We construct the universal enveloping algebra of a Hom-Lie algebra and endow it with a Hom-Hopf algebra structure.
Laurent-Gengoux, Camille +2 more
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Advances in Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Lie Algebra Theory without Algebra [PDF]
, 2009 This is an expository paper in which we explain how basic, standard, results about simple Lie algebras can be obtained by geometric arguments, following ideas of Cartan, Richardson and others.
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Generalized derivations of Lie triple systems
Open Mathematics, 2016 In this paper, we present some basic properties concerning the derivation algebra Der (T), the quasiderivation algebra QDer (T) and the generalized derivation algebra GDer (T) of a Lie triple system T, with the relationship Der (T) ⊆ QDer (T) ⊆ GDer (T) ⊆
Zhou Jia, Chen Liangyun, Ma Yao
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