On the integrality of locally algebraic representations of GL2(D)

Nadimpalli, S and Sheth, M (2024) On the integrality of locally algebraic representations of GL2(D). In: Journal of Number Theory, 257 . pp. 124-145.

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Abstract

Emerton's theory of Jacquet modules for locally analytic representations provides necessary conditions for the existence of integral structures in locally analytic representations. These conditions are also expected to be sufficient for the integrality of generic irreducible locally algebraic representations. In this article, we prove the sufficiency of Emerton's conditions for some tamely ramified locally algebraic representations of GL2(D) where D is a p-adic division algebra. © 2023 Elsevier Inc.

Item Type:	Journal Article
Publication:	Journal of Number Theory
Publisher:	Academic Press Inc.
Additional Information:	The copyright for this article belongs to Academic Press Inc.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	28 Feb 2024 13:15
Last Modified:	28 Feb 2024 13:15
URI:	https://eprints.iisc.ac.in/id/eprint/83699

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