On representations of p-ADIC GL2(D)

Raghuram, A. (2002) On representations of p-ADIC GL2(D) Pacific Journal of Mathematics, 206 (2). pp. 451-464. ISSN 0030-8730

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Official URL: http://msp.org/pjm/2002/206-2/p10.xhtml

Related URL: http://dx.doi.org/10.2140/pjm.2002.206.451

Abstract

This paper is in two parts. In the first we work out the asymptotics of functions in the Kirillov model of an irreducible admissible representation of GL2(D) for a p-adic division algbera D. In the second part we prove a theorem, for GLn(H) for a quaternionic p-adic division algebra H, of explicitly realizing the contragredient representation and then derive a consequence of this for distinguished representations for GL2(H).

Item Type:Article
Source:Copyright of this article belongs to Mathematical Sciences Publishers.
ID Code:106313
Deposited On:01 Feb 2018 16:59
Last Modified:01 Feb 2018 16:59

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