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

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	Gelfand-Kirillov Dimensions of the Z(2)-graded Oscillator Representations of sl(n)
其他题名	Gelfand-Kirillov Dimensions of the Z~2-graded Oscillator Representations of sl(n)
	Bai Zhan Qiang
	2015
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	31 期号:6 页码:921-937
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 Z(2)-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.
其他摘要	We find an exact formula of Gelfand-Kirillov dimensions for the infinite-dimensional explicit irreducible sl(n, F)-modules that appeared in the Z~2-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.
关键词	C-N-MODULES WEIGHT MODULES MULTIPLICITIES Gelfand-Kirillov dimension highest-weight module associated variety minimal GK-dimension module universal enveloping algebra
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China]
CSCD记录号	CSCD:5421488
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/54300
专题	中国科学院数学与系统科学研究院
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Bai Zhan Qiang. Gelfand-Kirillov Dimensions of the Z(2)-graded Oscillator Representations of sl(n)[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2015,31(6):921-937.
APA	Bai Zhan Qiang.(2015).Gelfand-Kirillov Dimensions of the Z(2)-graded Oscillator Representations of sl(n).ACTA MATHEMATICA SINICA-ENGLISH SERIES,31(6),921-937.
MLA	Bai Zhan Qiang."Gelfand-Kirillov Dimensions of the Z(2)-graded Oscillator Representations of sl(n)".ACTA MATHEMATICA SINICA-ENGLISH SERIES 31.6(2015):921-937.