一类广义Witt代数的构造  

Constructions of a Class of Generalized Witt Algebras

作　　者：王晓明[1] 王宪栋[1] 

机构地区：[1]青岛大学数学科学学院,山东青岛266071

出　　处：《青岛大学学报（自然科学版）》2006年第2期16-19,共4页Journal of Qingdao University(Natural Science Edition)

摘　　要：19年前Kawamoto定义了特征为0的域F上的广义Witt代数,本文基于一个可换幺半群及其上的一个双变量映射,定义并研究了一类广义Witt代数^W=W(α,A,T,φ)/I FT,其中A是一个可换幺半群,T是域F上的一个向量空间,φ:T×A→F是一个双变量映射。给出确定单性的一个充要条件,证明了这类代数结构同构于相应的可换幺半群代数的导子代数。Generalized Witt algebras, over a field F of characteristic 0, were defined by Kawamoto about 19 years ago. In this article, based on abelian monoids, we construct a class of generalized Witt algebras ？ = W（ , A,T, ）/I FT where A is an abelian monoid, T is a vector space over F, ..T A F is a map which is F -- linear in the first variable and additive in the second one. We prove that these algebras are isomorphic to the derivation algebras of the corresponding abelian monoids.

关 键 词：广义WITT代数 可换幺半群 导子代数 

分 类 号：O153.3[理学—数学]