Results 51 to 60 of about 751 (85)

Natural $Γ$-symmetric structures on $R$-spaces [PDF]

open access: yesarXiv, 2019
We classify $R$-spaces that admit a certain natural $\Gamma$-symmetric structure. We further determine the maximal antipodal sets of these structures.
arxiv  

Classification of integrable complex structures on 6-dimensional product Lie algebras [PDF]

open access: yesarXiv, 2018
We classify all integrable complex structures on 6-dimensional Lie algebras of the form $\mathfrak{g}\times\mathfrak{g}$.
arxiv  

A Note on Derivations of Lie Algebras

open access: yes, 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
core  

On Hermitian and skew-Hermitian matrix algebras over octonions [PDF]

open access: yesarXiv, 2019
We prove simplicity, and compute $\delta$-derivations and symmetric associative forms of algebras in the title.
arxiv  

Involutions on graded matrix algebras [PDF]

open access: yesarXiv, 2006
In this paper we describe graded automorphisms and antiautomorphisms of finite order on matrix algebras endowed with a group gradings by a finite abelian group over an arbitrary algebraically closed field of charcteristic different from 2.
arxiv  

2-Cocycles of Deformative Schrödinger-Virasoro Algebras [PDF]

open access: yesarXiv, 2008
In a series of papers by Henkel, Roger and Unterberger, Schr\"{o}dinger-Virasoro algebras and their deformations were introduced and investigated. In the present paper we determine the 2-cocycles of a class of deformative Schr\"{o}dinger-Virasoro algebras.
arxiv  

Leibniz Central Extension on the Twisted Schrödinger-Virasoro Algebra [PDF]

open access: yesarXiv, 2008
In this paper we present all the Leibniz 2-cocycles of the twisted Schr\"{o}dinger-Virasoro algebra, which determine its second Leibniz cohomology group.
arxiv  

Gradings on simple algebras of finitary matrices [PDF]

open access: yesarXiv, 2009
We describe gradings by finite abelian groups on the associative algebras of infinite matrices with finitely many nonzero entries, over an algebraically closed field of characteristic zero.
arxiv  

Hydroclimatic and cultural instability in northeastern North America during the last millennium. [PDF]

open access: yesPLoS One, 2021
Stager JC   +5 more
europepmc   +1 more source

Maximal graded subalgebras of Witt and Special superalgebras [PDF]

open access: yesarXiv, 2009
This paper has been withdrawn by the author due to that the main results and approaches are closedly parallel to the ones in Lie algebra case.
arxiv  

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