4 citations · 18 across the 17 of their papers we have counts for
17 papers
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…
On Swan exponents of symmetric and exterior square Galois representations
Guy Henniart, Masao Oi
Let be a local non-Archimedean field and a finite Galois extension of , with Galois group . If is a representation of on a complex vector space , we may co…
Simple supercuspidal L-packets of split special orthogonal groups over dyadic fields
Moshe Adrian, Guy Henniart, Eyal Kaplan +1
We consider the split special orthogonal group defined over a -adic field. We determine the structure of any -packet of containing a simpl…
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…
The B(G)-parametrization of the local Langlands correspondence
Alexander Bertoloni Meli, Masao Oi
This article is on the parametrization of the local Langlands correspondence over local fields for non-quasi-split groups according to the philosophy of Vogan. We show that a param…
Simple supercuspidal L-packets of symplectic groups over dyadic fields
Guy Henniart, Masao Oi
We consider the symplectic group defined over a -adic field , where . We prove that every simple supercuspidal representation (in the sense of Gross--…
Local newforms for generic representations of unramified odd unitary groups and Fundamental Lemma
Hiraku Atobe, Masao Oi, Seidai Yasuda
In this paper, we establish the theory of local newforms for irreducible tempered generic representations of unramified odd unitary groups over a non-archimedean local field. For t…
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…
Local Langlands correspondence for regular supercuspidal representations of GL(n)
Masao Oi, Kazuki Tokimoto
In this paper, we prove the coincidence of Kaletha's recent construction of the local Langlands correspondence for regular supercuspidal representations with Harris--Taylor's one i…
Iwahori-Hecke algebra and unramified local L-functions
Masao Oi, Ryotaro Sakamoto, Hiroyoshi Tamori
In this paper, we compute the Hecke action of a certain test function on the space of an unramified principal series of a connected reductive group over a non-archimedean local fie…
Depth preserving property of the local Langlands correspondence for non-quasi-split unitary groups
Masao Oi
In this paper, we extend our result on a depth preserving property of the local Langlands correspondence for quasi-split unitary groups (arXiv:1804.10901) to non-quasi-split unitar…
Simple supercuspidal L-packets of quasi-split classical groups
Masao Oi
In this paper, for quasi-split classical groups over p-adic fields, we determine the L-packets consisting of simple supercuspidal representations and their corresponding L-paramete…
Depth preserving property of the local Langlands correspondence for quasi-split classical groups in a large residual characteristic
Masao Oi
For a quasi-split classical group over a p-adic field with sufficiently large residual characteristic, we prove that the maximum of depth of representations in each L-packet equals…
Endoscopic lifting of simple supercuspidal representations of unramified U(N) to GL(N)
Masao Oi
Let U(N) be the quasi-split unitary group in N variables for a quadratic unramified extension of p-adic fields. We compute the characters of simple supercuspidal representations of…
Endoscopic lifting of simple supercuspidal representations of SO(2n+1) to GL(2n)
Masao Oi
We compute the characters of simple supercuspidal representations of twisted GL(2n) and standard SO(2n+1) over a p-adic field. Comparing them by the endoscopic character relation,…
On ramifications of Artin-Schreier extensions of surfaces over algebraically closed fields of positive characteristic III
Masao Oi
For a smooth surface X over an algebraically closed field of positive characteristic, we consider the ramification of an Artin-Schreier extension of X. A ramification at a point of…