Gelfand–Kirillov Dimensions of the Z^2-graded Oscillator Representations of sl(n)  

作　　者：Zhan Qiang BAI 

机构地区：[1]Institute of Mathematics, Academy of Mathematics and System Sciences,Chinese Academy of Sciences

出　　处：《Acta Mathematica Sinica,English Series》2015年第6期921-937,共17页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.11171324)

摘　　要：We find an exact formula of Gelfand-Kirillov dimensions for the infinite-dimensional explicit irreducible sl（n,F）-modules that appeared in the Z2-graded oscillator generalizations of the classical theorem on harmonic polynomials established by Luo and Xu. Three infinite subfamilies of these modules have the minimal Gelfand-Kirillov dimension. They contain weight modules with unbounded weight multiplicities and completely pointed modules.Service E-mail this articleAdd to my bookshelfAdd to citation managerE-mail AlertRSSArticles by authorsWe find an exact formula of Gelfand-Kirillov dimensions for the infinite-dimensional explicit irreducible sl（n,F）-modules that appeared in the Z2-graded oscillator generalizations of the classical theorem on harmonic polynomials established by Luo and Xu. Three infinite subfamilies of these modules have the minimal Gelfand-Kirillov dimension. They contain weight modules with unbounded weight multiplicities and completely pointed modules.Service E-mail this articleAdd to my bookshelfAdd to citation managerE-mail AlertRSSArticles by authors

关 键 词：Gelfand-Kirillov dimension highest-weight module associated variety minimal GKdimension module universal enveloping algebra 

分 类 号：TN752[电子电信—电路与系统]