On the correspondence of representations between GL(n) and division algebras

Lansky, Joshua ; Raghuram, A. (2002) On the correspondence of representations between GL(n) and division algebras Proceedings of the American Mathematical Society, 131 (05). pp. 1641-1648. ISSN 0002-9939

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Official URL: http://www.ams.org/journals/proc/2003-131-05/S0002...

Related URL: http://dx.doi.org/10.1090/S0002-9939-02-06918-6

Abstract

For a division algebra D over a p-adic field F, we prove that depth is preserved under the correspondence of discrete series representations of GLn(F) and irreducible representations of D* by proving that an explicit relation holds between depth and conductor for all such representations. We also show that this relation holds for many (possibly all) discrete series representations of GL2(D).

Item Type:Article
Source:Copyright of this article belongs to American Mathematical Society.
ID Code:106311
Deposited On:01 Feb 2018 16:59
Last Modified:01 Feb 2018 16:59

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