(r,s)-微分算子代数的导子及其二上圈(英文)  

Derivations and 2-cocycles of the algebra of(r,s)-differential operators

作　　者：陈茹[1] 林磊[1] 刘东[2] 

机构地区：[1]华东师范大学数学系,上海200062 [2]湖州师范学院数学系,浙江湖州313000

出　　处：《华东师范大学学报（自然科学版）》2009年第1期94-103,共10页Journal of East China Normal University(Natural Science)

基　　金：教育部长江学者创新团队(10671027);国家自然科学基金(10671027,10701019);浙江省自然科学基金(Y607136)

摘　　要：定义复数域■上的Laurent多项式代数■[t,t^(-1)]的(r,s)-微分算子■_(r,s).给出该微分算子及{t^(±1}生成的结合代数即(r,s)-微分算子代数的一组基,并在此基础上研究了(r,s)-微分算子代数的导子代数及其非平凡二上圈.This paper defined the （r,s）-differential operator of the algebra of Laurent poly- nomials over the complex numbers field. Let 79r,8 be the associative algebra generated by {t^±1} and the （r, s）-differential operator, which is called （r, s）-differential operators algebra. In this paper, the derivation algebra of Dr,s and its Lie algebra Dr,s^- were described and all the non-trivial 2-cocycles were determined.

关 键 词：(r s)-微分算子 导子 二上圈 

分 类 号：O152.5[理学—数学]