Laurent多项式代数C[x_1^(±1),x_2^(±1)]上的李三系  

Lie Triple Systems Associated with the Laurent Polynomial Algebra C[x_1^(±1),x_2^(±1)]

作　　者：李昭[1] 曾波[1] 曹佑安[1] 

机构地区：[1]湘潭大学数学与计算科学学院,湘潭411105

出　　处：《数学学报（中文版）》2012年第5期811-816,共6页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11171202);湖南省教育厅一般资助项目(10C1260)

摘　　要：设A为交换变元x_1,x_2的罗朗多项式代数,记A的导子代数Der A为M.本文确定了A,M的对合自同构.利用M的对合自同构给出了一类无限维单李三系,并且通过讨论M的自同构与对合自同构的关系,确定这些单李三系的自同构.Let A be the Laurent polynomial algebra in commutative variables x1,x2. Denote the derivation algebra Der A of A by M.In this paper,we determine the involution automorphisms of A.M.We use the involution automorphisms of M to construct some infinitely dimensional simple Lie triple systems.The automorphisms of these simple Lie triple systems are also determined by discussing the relationships between the automorphisms and the involution automf M.

关 键 词：罗朗多项式代数 李三系 自同构 

分 类 号：O152.5[理学—数学]