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arXiv · 2504.17225

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

Amoru Fujii
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Abstract

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.

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Amoru Fujii. 2025-04-24. Parametrization of supercuspidal representations of depth zero for some simple adjoint groups. https://arxiv.org/abs/2504.17225

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