Results 11 to 20 of about 360 (41)

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

Classification of generalized Wallach spaces [PDF]

Geometriae Dedicata, 2016, Vol. 181, N 1, 193-212, 2014
In this paper, we present the classification of generalized Wallach spaces and discuss some related problems.
arxiv   +1 more source

Combined system of additive functional equations in Banach algebras

Open Mathematics
In this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\end ...
Donganont Siriluk, Park Choonkil
doaj   +1 more source

The derivation algebra and automorphism group of the twisted Schrödinger-Virasoro algebra [PDF]

arXiv, 2008
In this article, we determine the derivation algebra and the automorphism group of the twisted Schr\"{o}dinger-Virasoro algebra.
arxiv  

The groups of automorphisms of the Witt $W_n$ and Virasoro Lie algebras [PDF]

arXiv, 2013
The groups of automorphisms of the Witt $W_n$ and Virasoro Lie algebras are found.
arxiv  

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

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

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

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

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

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

Involutions on graded matrix algebras [PDF]

arXiv, 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]

arXiv, 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