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The Gelfand-Kirillov dimension of a unitary highest weight module

文献类型：期刊论文

作者Bai ZhanQiang1; Hunziker, Markus2
刊名SCIENCE CHINA-MATHEMATICS
出版日期2015-12-01
卷号58期号:12页码:2489-2498
关键词unitary highest weight module associated variety Gelfand-Kirillov dimension nilpotent orbit
ISSN号1674-7283
DOI10.1007/s11425-014-4968-y
英文摘要During the last decade, a great deal of activity has been devoted to the calculation of the Hilbert-Poincar, 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.
资助项目National Natural Science Foundation of China[11171324] ; Hong Kong Research Grants Council under RGC Project[60311] ; Hong Kong University of Science and Technology[DAG S09/10.SC02]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000365692100002
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/21402]  
专题中国科学院数学与系统科学研究院
通讯作者Bai ZhanQiang
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China
2.Baylor Univ, Dept Math, Waco, TX 76798 USA
推荐引用方式
GB/T 7714		 Bai ZhanQiang,Hunziker, Markus. The Gelfand-Kirillov dimension of a unitary highest weight module[J]. SCIENCE CHINA-MATHEMATICS,2015,58(12):2489-2498.
APA Bai ZhanQiang,&Hunziker, Markus.(2015).The Gelfand-Kirillov dimension of a unitary highest weight module.SCIENCE CHINA-MATHEMATICS,58(12),2489-2498.
MLA Bai ZhanQiang,et al."The Gelfand-Kirillov dimension of a unitary highest weight module".SCIENCE CHINA-MATHEMATICS 58.12(2015):2489-2498.

入库方式： OAI收割

来源：数学与系统科学研究院

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