3 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 -adic groups
Kazuma Ohara
Let be a non-archimedean local field with residue characteristic and be a connected reductive group defined over . 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 imply that if the graded algebra of modular forms is freely generated, then mus…