Results 51 to 60 of about 751 (85)
Natural $Γ$-symmetric structures on $R$-spaces [PDF]
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]
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
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]
We prove simplicity, and compute $\delta$-derivations and symmetric associative forms of algebras in the title.
arxiv
Involutions on graded matrix algebras [PDF]
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]
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]
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]
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]
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Maximal graded subalgebras of Witt and Special superalgebras [PDF]
This paper has been withdrawn by the author due to that the main results and approaches are closedly parallel to the ones in Lie algebra case.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