Mihir Sheth

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math.RT2025

Non-admissible irreducible representations of $p$ -adic $GL_{n}$ in characteristic $p$

Eknath Ghate, Daniel Le, Mihir Sheth

Let $p > 3$ and $F$ be a non-archimedean local field with residue field a proper finite extension of $F_{p}$ . We construct smooth absolutely irreducible non-admissible represe…

math.RT2024

A note on the admissibility of smooth simple $R G$ -modules

Mihir Sheth

Let $G$ be a $p$ -adic reductive group and $R$ be a noetherian Jacobson $Z [1/ p]$ -algebra. In this note, we show that every smooth irreducible $R$ -linear representation of $…

math.RT2024

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 $GL_{2} (D)$ where $D$ is a division algebra over a non-archimedean lo…

math.RT2024

On the integrality of locally algebraic representations of $GL_{2} (D)$

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.…

Non-admissible irreducible representations of p-adic GLn​ in characteristic p

A note on the admissibility of smooth simple RG-modules

Twisted Jacquet modules: a conjecture of D. Prasad

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

Non-admissible irreducible representations of $p$ -adic $GL_{n}$ in characteristic $p$

A note on the admissibility of smooth simple $R G$ -modules

On the integrality of locally algebraic representations of $GL_{2} (D)$