6 citations · 8 across the 7 of their papers we have counts for
8 papers · 1 filter
Endoscopic transfer and the wavefront upper bound conjecture
Hiraku Atobe, Dan Ciubotaru
We verify the local analogue of Jiang's conjecture for the upper bound of the geometric wavefront sets of Arthur type representations of split classical -adic groups with $p\gg…
Unitary dual of -adic split and : The good parity case (and slightly beyond)
Hiraku Atobe, Alberto Minguez
Let be a -adic field, and let be either the split special orthogonal group or the symplectic group , with . We pro…
Local newforms for generic representations of unramified even unitary groups I: Even conductor case
Hiraku Atobe
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 t…
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…