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 harmoni...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 authors展开更多
词汇短语园地1. accustomedadj.习惯的搭配:be accustomed to (doing) sth=be used to (doing) sth习惯于(做)某事I’m accustomed to the school life here now.现在我习惯这儿的学校生活了。I have been accustomed to going to bed e...词汇短语园地1. accustomedadj.习惯的搭配:be accustomed to (doing) sth=be used to (doing) sth习惯于(做)某事I’m accustomed to the school life here now.现在我习惯这儿的学校生活了。I have been accustomed to going to bed early and getting up early for years.我已习惯于早睡早起数年了。展开更多
基金Supported by National Natural Science Foundation of China(Grant No.11171324)
文摘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 authors
文摘词汇短语园地1. accustomedadj.习惯的搭配:be accustomed to (doing) sth=be used to (doing) sth习惯于(做)某事I’m accustomed to the school life here now.现在我习惯这儿的学校生活了。I have been accustomed to going to bed early and getting up early for years.我已习惯于早睡早起数年了。
