thegelfandkirillovdimensionofaunitaryhighestweightmodule

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	thegelfandkirillovdimensionofaunitaryhighestweightmodule
	Bai Zhanqiang 1; Hunziker Markus 2
	2015
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	58 期号:12 页码:2489
摘要	During the last decade, a great deal of activity has been devoted to the calculation of the Hilbert- Poincare series of unitary highest weight representations and related modules in algebraic geometry. However, uniform formulas remain elusive-even for more basic invariants such as the Gelfand-Kirillov dimension or the Bernstein degree, and are usually limited to families of representations in a dual pair setting. We use earlier work by Joseph to provide an elementary and intrinsic proof of a uniform formula for the Gelfand-Kirillov dimension of an arbitrary unitary highest weight module in terms of its highest weight. The formula generalizes a result of Enright and Willenbring (in the dual pair setting) and is inspired by Wang's formula for the dimension of a minimal nilpotent orbit.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/39487
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学院数学与系统科学研究院 2.贝勒大学
推荐引用方式 GB/T 7714	Bai Zhanqiang,Hunziker Markus. thegelfandkirillovdimensionofaunitaryhighestweightmodule[J]. sciencechinamathematics,2015,58(12):2489.
APA	Bai Zhanqiang,&Hunziker Markus.(2015).thegelfandkirillovdimensionofaunitaryhighestweightmodule.sciencechinamathematics,58(12),2489.
MLA	Bai Zhanqiang,et al."thegelfandkirillovdimensionofaunitaryhighestweightmodule".sciencechinamathematics 58.12(2015):2489.