A result on the gelfand-kirillov dimension of representations of classical groups

Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/102751

DC Field	Value
dc.title	A result on the gelfand-kirillov dimension of representations of classical groups
dc.contributor.author	Zhu, C.-B.O.
dc.date.accessioned	2014-10-28T02:29:17Z
dc.date.available	2014-10-28T02:29:17Z
dc.date.issued	1998
dc.identifier.citation	Zhu, C.-B.O. (1998). A result on the gelfand-kirillov dimension of representations of classical groups. Proceedings of the American Mathematical Society 126 (10) : 3125-3130. ScholarBank@NUS Repository.
dc.identifier.issn	00029939
dc.identifier.uri	http://scholarbank.nus.edu.sg/handle/10635/102751
dc.description.abstract	Let (G, G′) be the reductive dual pair (O(p,g),Sp(2n,R)). We show that if πT is a representation of Sp(2n, R) (respectively O(p, q)) obtained from duality correspondence with some representation of O(p, g) (respectively Sp(2n,K)), then its Gelfand-Kirillov dimension is less than or equal to (p + q)(2n - p+q-1/2) (respectively 2n(p + q - 2n+1/2)). © 1998 American Mathematical Society.
dc.source	Scopus
dc.subject	Classical groups
dc.subject	Duality correspondence
dc.subject	Gelfand-kirillov dimension
dc.type	Article
dc.contributor.department	MATHEMATICS
dc.description.sourcetitle	Proceedings of the American Mathematical Society
dc.description.volume	126
dc.description.issue	10
dc.description.page	3125-3130
dc.identifier.isiut	NOT_IN_WOS
Appears in Collections:	Staff Publications

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