B_2型U_(A′)^+的基及其基变换  

Basis and Their Transformation of U_(A′)^+ for Type B_2

作　　者：郝晓斌[1] 原新凤[1] 

机构地区：[1]河南工程学院数理科学系,河南郑州451191

出　　处：《河南工程学院学报（自然科学版）》2010年第3期65-67,共3页Journal of Henan University of Engineering：Natural Science Edition

基　　金：河南工程学院博士基金项目(D09008)

摘　　要：令v是未定元,A=Z[v,v-1],A=Q(v)是A的分式域.UA′是A′上相伴于B2型Cartan矩阵(aij)的量子代数.分析了UA′的子代数UA+′的两组包含无限个元素的典范基的结构,对于一组基中任一元素,都可以在这组基中找到一个包含该元素的有限集合,同时在另一组基中可以找到一个对应的有限集合,这两个集合元素个数相等,两者元素可互相表出.Let v be an indeterminate,A=Z,A=Q（v） is the fraction field of A.UA′ is the quantum algebra over A′ associated to Cartan matrix（aij） for type B2.The constructions of two infinite canonical bases of the subalgebra U＋A′ of UA′ are discussed.For any element in one basis,there is a finite set which includes this element.At the same time,a corresponding finite set can be found in another basis,the two sets above-mentioned have the same cardinality and can be expressed each other.

关 键 词：量子代数 子代数 基变换 

分 类 号：O153[理学—数学]