activity
20172024
most citedOn irreducible supersingular representations of

2 citations · 5 across the 7 of their papers we have counts for

collaborators

7 papers

math.RT2024

A note on the admissibility of smooth simple -modules

Mihir Sheth

Let be a -adic reductive group and be a noetherian Jacobson -algebra. In this note, we show that every smooth irreducible -linear representation of $…

math.RT2023

Twisted Jacquet modules: a conjecture of D. Prasad

Santosh Nadimpalli, Mihir Sheth

In this note, we study the twisted Jacquet modules of sub-quotients of principal series representations of where is a division algebra over a non-archimedean lo…

math.RT2023★ 1 cited

On the integrality of locally algebraic representations of

Santosh Nadimpalli, Mihir Sheth

Emerton's theory of Jacquet modules for locally analytic representations provides necessary conditions for the existence of integral structures in locally analytic representations.…

math.RT2022★ 2 cited

On irreducible supersingular representations of

Mihir Sheth

Let be a non-archimedean local field of residual characteristic and residue degree . We study a certain type of diagram, called \emph{cyclic diagrams}, and use them…

math.RT2022★ 2 cited

Non-admissible irreducible representations of -adic in characteristic

Eknath Ghate, Daniel Le, Mihir Sheth

Let and be a non-archimedean local field with residue field a proper finite extension of . We construct smooth absolutely irreducible non-admissible represe…

math.RT2020

On non-admissible irreducible modulo representations of

Eknath Ghate, Mihir Sheth

We use a Diamond diagram attached to a -dimensional reducible split mod Galois representation of to construct a…

math.NT2017

Locally analytic representations in the étale coverings of the Lubin-Tate moduli space

Mihir Sheth

The Lubin-Tate moduli space is a -adic analytic open unit polydisc which parametrizes deformations of a formal group of finite height defined over a…