Bai Zhanqiang1; Hunziker Markus2
Source Publicationsciencechinamathematics
AbstractDuring 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.
Document Type期刊论文
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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.
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