Jeffrey D. Adler

collaborators

4 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 smooth-group actions on reductive groups and spherical buildings

Jeffrey D. Adler, Joshua M. Lansky, Loren Spice

Let $k$ be a field, and suppose that $I^$ is a smooth $k$ -group that acts on a connected, reductive $k$ -group $G$ . Let $G$ denote the maximal smooth, connected subgroup…

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…