Kazuma Ohara

activity

20232025

collaborators

6 papers

math.RT2025

A depth-zero principal-series block whose Hecke algebra has a non-trivial two-cocycle

Jeffrey D. Adler, Jessica Fintzen, Kazuma Ohara

Recently the authors have shown that every Hecke algebra associated to a type constructed by Kim and Yu is isomorphic to a Hecke algebra for a depth-zero type. An example in the li…

math.RT2025

On parameters of Hecke algebras for $p$ -adic groups

Kazuma Ohara

Let $F$ be a non-archimedean local field with residue characteristic $p$ and $G$ be a connected reductive group defined over $F$ . In earlier joint works with Jeffrey D. Adler, Jess…

math.NT2025

Finiteness of Free Algebras of Modular Forms on Unitary Groups

Yota Maeda, Kazuma Ohara

Classical results on the classification of reflections in an arithmetic subgroup $Γ$ imply that if the graded algebra of modular forms $M_{*} (Γ)$ is freely generated, then $Γ$ must b…

math.RT2024

Reduction to depth zero for tame p-adic groups via Hecke algebra isomorphisms

Jeffrey D. Adler, Jessica Fintzen, Manish Mishra +1

Let $F$ be a nonarchimedean local field of residual characteristic $p$ . Let $G$ denote a connected reductive group over $F$ that splits over a tamely ramified extension of $F$ . Let…

math.RT2024

Structure of Hecke algebras arising from types

Jeffrey D. Adler, Jessica Fintzen, Manish Mishra +1

Let $G$ denote a connected reductive group over a nonarchimedean local field $F$ of residue characteristic $p$ , and let $C$ denote an algebraically closed field of charac…

math.RT2023

A comparison of endomorphism algebras

Kazuma Ohara

Let $F$ be a non-archimedean local field and $G$ be a connected reductive group over $F$ . For a Bernstein block in the category of smooth complex representations of $G (F)$ , we have…

A depth-zero principal-series block whose Hecke algebra has a non-trivial two-cocycle

On parameters of Hecke algebras for p-adic groups

Finiteness of Free Algebras of Modular Forms on Unitary Groups

Reduction to depth zero for tame p-adic groups via Hecke algebra isomorphisms

Structure of Hecke algebras arising from types

A comparison of endomorphism algebras

On parameters of Hecke algebras for $p$ -adic groups