Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/102751
Title: A result on the gelfand-kirillov dimension of representations of classical groups
Authors: Zhu, C.-B.O. 
Keywords: Classical groups
Duality correspondence
Gelfand-kirillov dimension
Issue Date: 1998
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.
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.
Source Title: Proceedings of the American Mathematical Society
URI: http://scholarbank.nus.edu.sg/handle/10635/102751
ISSN: 00029939
Appears in Collections:Staff Publications

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