【摘 要】
：
In this paper, we construct large families of characteristically nilpotent Lie algebras by considering deformations of the Lie algebra (g)4(m,m-1) of type Qn,wh
【机 构】
：
Departamento de Geometría y Topología Facultad CC. Matemáticas U.C.M, 28040 Madrid, Spain
论文部分内容阅读
In this paper, we construct large families of characteristically nilpotent Lie algebras by considering deformations of the Lie algebra (g)4(m,m-1) of type Qn,which arises as a central naturally graded extension of the filiform Lie algebra Ln.By studying the graded cohomology spaces, we obtain that the sill algebras associated to the models (g)4(m,m-1) can be interpreted as nilradicals of solvable, complete Lie algebras. For extreme cocycles, we obtain moreover nilradicals of rigid laws.By considering supplementary cocycles, we construct, for any dimension n (＞－) 9,non-filiform characteristically nilpotent Lie algebras with mixed characteristic sequence and show that for certain deformations, these deformations are compatible with central extensions.
其他文献
美国哥伦比亚大学教授麦尔文·曼切尔,在他著的《新闻报道与写作》一书中,把“运用具体名词和富于动作色彩的动词”,作为消息写作的十条规则之一。他的这种见解,颇有见地,有
采用中国高粱(麦茬)、迈罗及粒用草原1号三个不同细胞质的高粱雄性不育系,经过核置换,转育成为两套同核异质的6个高粱雄性不育系,并分别与同一个恢复系杂交得到两套共6个同核
In this paper, we classify the nonassociative algebras whose associator satisfies relations defined by a natural action of the symmetric group of degree 3.
We study the structure of function fields of plane curves following our method developed in [3]. Let K be the function field of a smooth plane curve C.Let Km be
For a braided monoidal category (C,(○×), K, c), in a previous paper, we construct a Brauer group B1,c(C) for the 1-Azumaya monoids in C. In this paper,we inve
This paper is part of a program to verify Dade’s conjecture for some finite groups. In this paper, Dade’s invariant conjecture has been verified for the Cheva
One question posed by Chung and Luh is answered. Namely, let R be a prime ring with center Z and d a non-zero derivation of R. Suppose xdn - xam ∈ Z for all x
The second author has shown that Carlitz’s q-Boulli numbers can be represented as an integral by the q-analogue of the ordinary p-adic invariant measure (see [
Let G be the fundamental group of a graph of groups and X the corresponding universal tree. We consider the extension of the action of G on X to an action of th
We give an overview of the work done so far towards a proof of the k(GV)-conjecture, that is R. Brauer’s k(B)-problem for p-solvable groups. In particular, we