Prasad, Dipendra (2000) Comparison of germ expansion on inner forms of GL(n) Manuscripta Mathematica, 102 (2). pp. 263-268. ISSN 0025-2611
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Official URL: http://www.springerlink.com/index/wwf6vjlj7n8f7fl7...
Related URL: http://dx.doi.org/10.1007/s002291020263
Abstract
We prove that the germ expansion of a discrete series representation π' on GLn(D) where D is a division algebra over k of index m and the germ expansion of the representation π of GLmn(k) associated to π' by the Deligne–Kazhdan–Vigneras correspondence are closely related, and therefore certain coefficients in the germ expansion of a discrete series representation of GLmn(k) can be interpreted (and therefore sometimes calculated) in terms of the dimension of a certain space of (degenerate) Whittaker models on GLn(D).
Item Type: | Article |
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Source: | Copyright of this article belongs to Springer. |
ID Code: | 35563 |
Deposited On: | 12 Apr 2011 08:56 |
Last Modified: | 17 May 2016 18:30 |
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