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Twisted endoscopic character relation for toral supercuspidal L-packets of classical groups
Masao Oi
We prove that Kaletha's toral supercuspidal L-packets satisfy the twisted endoscopic character relation in some cases, including the case of general linear groups equipped with an…
Twisted character formula for toral supercuspidal representations
Masao Oi
We establish an explicit formula for twisted Harish-Chandra characters of toral supercuspidal representations of p-adic reductive groups under several technical assumptions. Our se…
Characterization of supercuspidal representations and very regular elements
Charlotte Chan, Masao Oi
We prove that regular supercuspidal representations of -adic groups are uniquely determined by their character values on very regular elements -- a special class of regular semi…
Geometric L-packets of Howe-unramified toral supercuspidal representations
Charlotte Chan, Masao Oi
We show that -packets of toral supercuspidal representations arising from unramified maximal tori of -adic groups are realized by Deligne--Lusztig varieties for parahoric sub…