Results 71 to 80 of about 513,003 (183)

Relationship between Nichols braided Lie algebras and Nichols algebras

, 2014
We establish the relationship among Nichols algebras, Nichols braided Lie algebras and Nichols Lie algebras. We prove two results: (i) Nichols algebra $\mathfrak B(V)$ is finite-dimensional if and only if Nichols braided Lie algebra $\mathfrak L(V)$ is ...
Wu, Weicai, Zhang, Shouchuan, Zhang, Yao-Zhong   +2 more
core  

On cohomology of Lie algebras [PDF]

, 1957
G. Leger
openalex   +1 more source

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
doaj   +1 more source

Some properties of Camina and $n$-Baer Lie algebras [PDF]

Journal of Mahani Mathematical Research
Let $I$ 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, Mohammad Reza Moghaddam, Mohammad Amin Rostamyari, Somayeh Saffarnia   +3 more
doaj   +1 more source

On torsion-free abelian groups and Lie algebras [PDF]

, 1958
Richard E. Block
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Classification of the symmetry Lie algebras for six-dimensional co-dimension two Abelian nilradical Lie algebras

AIMS Mathematics
In this paper, we consider the symmetry algebra of the geodesic equations of the canonical connection on a Lie group. We mainly consider the solvable indecomposable six-dimensional Lie algebras with co-dimension two abelian nilradical that have an ...
Nouf Almutiben, Edward L. Boone, Ryad Ghanam, G. Thompson   +3 more
doaj   +1 more source

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
doaj   +1 more source

Restricted Lie algebras of characteristic $p$ [PDF]

, 1941
Nathan Jacobson
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Invariant Algebras [PDF]

arXiv, 2011
We introduce invariant algebras and representation$^{(c_1,..., c_8)}$ of algebras, and give many ways of constructing Lie algebras, Jordan algebras, Leibniz algebras, pre-Lie algebras and left-symmetric algebras in an invariant algebras.
arxiv  

Lie algebras of locally compact groups [PDF]

, 1957
Richard Lashof
openalex   +1 more source