Eknath Ghate

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20242026

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math.RT2025

Clebsch-Gordan and the theta filtration for modular representations of $GL_{2} (F_{q})$

Srijeet Bhattacharjee, Eknath Ghate, Shivansh Pandey +1

Let $p$ be a prime. We solve two problems in the mod $p$ representation theory of $GL_{2} (F_{q})$ where $q = p^{f}$ . We first prove a Clebsch-Gordan decomposition theor…

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.RT2025

Restriction problem for mod $p$ representations of $GL_{2}$ over a finite field

Eknath Ghate, Shubhanshi Gupta

Let $F_{q}$ be the finite field with $q = p^{f}$ elements. We study the restriction of two classes of mod $p$ representations of $G_{q} = GL_{2} (F_{q})$ to $G_p =…

math.RT2024

Modular representations of $GL_{2} (F_{q})$ using calculus

Eknath Ghate, Arindam Jana

We show that certain modular induced representations of $GL_{2} (F_{q})$ can be written as cokernels of operators acting on symmetric power representations of $\mathr…

Clebsch-Gordan and the theta filtration for modular representations of GL2​(Fq​)

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

Restriction problem for mod p representations of GL2​ over a finite field

Modular representations of GL2​(Fq​) using calculus

Clebsch-Gordan and the theta filtration for modular representations of $GL_{2} (F_{q})$

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

Restriction problem for mod $p$ representations of $GL_{2}$ over a finite field

Modular representations of $GL_{2} (F_{q})$ using calculus