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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 be a field, and suppose that is a smooth -group that acts on a connected, reductive -group . Let denote the maximal smooth, connected subgroup o…