6 citations · 8 across the 5 of their papers we have counts for
6 papers
An analogue of ladder representations for classical groups
Hiraku Atobe
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 ze…
The set of local A-packets containing a given representation
Hiraku Atobe
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…
The explicit Zelevinsky-Aubert duality
Hiraku Atobe, Alberto Minguez
In this paper, we give an explicit computable algorithm for the Zelevinsky-Aubert dual of irreducible representations of -adic symplectic and odd special orthogonal groups. To d…
On an algorithm to compute derivatives
Hiraku Atobe
In this paper, we complete Jantzen's algorithm to compute the highest derivatives of irreducible representations of -adic odd special orthogonal groups or symplectic groups. As…
Jacquet modules and local Langlands correspondence
Hiraku Atobe
In this paper, we explicitly compute the semisimplifications of all Jacquet modules of irreducible representations with generic L-parameters of p-adic split odd special orthogonal…
Applications of Arthur's multiplicity formula to Siegel modular forms
Hiraku Atobe
We give two applications of Arthur's multiplicity formula to Siegel modular forms. The one is a lifting theorem for vector valued Siegel modular forms, which contains Miyawaki's co…