Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Atobe, Hiraku"'
Autor:
Atobe, Hiraku
In this paper, we define compact open subgroups of quasi-split even unitary groups for each even non-negative integers, and establish the theory of local newforms for irreducible tempered generic representations with a certain condition on the centra
Externí odkaz:
http://arxiv.org/abs/2307.08174
Let $f$ be a primitive form of weight $2k+j-2$ for $SL_2(Z)$, and let $\mathfrak p$ be a prime ideal of the Hecke field of $f$. We denote by $SP_m(Z)$ the Siegel modular group of degree $m$. Suppose that $k \equiv 0 \mod 2, \ j \equiv 0 \mod 4$ and t
Externí odkaz:
http://arxiv.org/abs/2306.07582
Autor:
Atobe, Hiraku
In this paper, we introduce a notion of ladder representations for split odd special orthogonal groups and symplectic groups over a non-archimedean local field of characteristic zero. This is a natural class in the admissible dual which contains both
Externí odkaz:
http://arxiv.org/abs/2209.15163
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 the proof, we prove an analogue of the fundamental lemma for our compac
Externí odkaz:
http://arxiv.org/abs/2206.09515
Autor:
Atobe, Hiraku
In this paper, we give an algorithm to determine all local A-packets containing a given irreducible representation of a p-adic classical group. Especially, we can determine whether a given irreducible representation is of Arthur type or not.
Com
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Externí odkaz:
http://arxiv.org/abs/2201.00952
In [12], Jacquet--Piatetskii-Shapiro--Shalika defined a family of compact open subgroups of $p$-adic general linear groups indexed by non-negative integers, and established the theory of local newforms for irreducible generic representations. In this
Externí odkaz:
http://arxiv.org/abs/2110.09070
Autor:
Atobe, Hiraku
In this paper, we consider representations of $p$-adic classical groups parabolically induced from the products of shifted Speh representations and unitary representations of Arthur type of good parity. We describe how to compute the socles (the maxi
Externí odkaz:
http://arxiv.org/abs/2109.12819
Let $f$ be a primitive form with respect to $SL_2(Z)$. Then we propose a conjecture on the congruence between the Klingen-Eisenstein lift of the Duke-Imamoglu-Ikeda lift of $f$ and a certain lift of a vector valued Hecke eigenform with respect to $Sp
Externí odkaz:
http://arxiv.org/abs/2109.10551
Autor:
Atobe, Hiraku
In this paper, we reformulate Moeglin's explicit construction of local A-packets of split odd special orthogonal groups and symplectic groups. By this reformulation together with results of the previous paper with Minguez, we can compute the A-packet
Externí odkaz:
http://arxiv.org/abs/2012.07232
Autor:
Atobe, Hiraku, Minguez, Alberto
In this paper, we give an explicit computable algorithm for the Zelevinsky-Aubert dual of irreducible representations of $p$-adic symplectic and odd special orthogonal groups. To do this, we establish explicit formulas for certain derivatives and soc
Externí odkaz:
http://arxiv.org/abs/2008.05689