arXiv subjects

Amoru Fujii

Publications and source records attributed to Amoru Fujii.

2 recordsLinked to original sources

arXiv2026

The local Langlands correspondence of essentially unipotent supercuspidal representations for disconnected reductive groups

We construct the local Langlands correspondence of essentially unipotent supercuspidal representations under the framework of rigid inner forms and prove a certain functoriality and compatibilities. This is stronger than an analogous result of Solleveld, which did not care about rigidifications of inner twists. We also generalize this correspondence for disconnected reductive groups. We expect to use this result for extension of Kaletha's explicit local Langlands correspondence of non-singular supercuspidal representations.

math.RT↗

arXiv2025

Parametrization of supercuspidal representations of depth zero for some simple adjoint groups

We construct a surjective map from the set of conjugacy classes of depth-zero cuspidal enhanced L-parameters to that of isomorphism classes of depth-zero supercuspidal representations for simple adjoint groups, and check the bijectivity in various cases. We also prove that the Hiraga--Ichino--Ikeda conjecture on the formal degree of essentially square-integrable irreducible representations holds for this parametrization if it is bijective.

math.RT↗