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| 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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