ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

NON-ADMISSIBLE IRREDUCIBLE REPRESENTATIONS OF p-ADIC GLn IN CHARACTERISTICp

Ghate, E and Le, D and Sheth, M (2023) NON-ADMISSIBLE IRREDUCIBLE REPRESENTATIONS OF p-ADIC GLn IN CHARACTERISTICp. In: Representation Theory, 27 . pp. 1088-1101.

[img]
Preview
PDF
Rep_the_27_2023.pdf - Published Version

Download (253kB) | Preview
Official URL: https://doi.org/10.1090/ERT/660

Abstract

Let p?> 3 and F be a non-archimedean local field with residue field a proper finite extension of Fp. We construct smooth absolutely irreducible non-admissible representations of GL2(F) defined over the residue field of F extending the earlier results of the authors for F unramified over Qp. This construction uses the theory of diagrams of Breuil and Paškūnas. By parabolic induction, we obtain smooth absolutely irreducible non-admissible representations of GLn(F) for n?> 2. © 2023 American Mathematical Society

Item Type: Journal Article
Publication: Representation Theory
Publisher: American Mathematical Society
Additional Information: The copyright for this article belongs to author.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 01 Mar 2024 05:39
Last Modified: 01 Mar 2024 05:39
URI: https://eprints.iisc.ac.in/id/eprint/83813

Actions (login required)

View Item View Item