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math.RT2024
Trace Paley-Wiener theorem for Braverman-Kazhdan's asymptotic Hecke algebra
Kenta Suzuki
Let be a reductive algebraic group over a non-archimedean local field of characteristic zero and let be the group of -rational points. Let $\mat…
math.RT2023
The explicit Local Langlands Correspondence for II: character formulas and stability
Kenta Suzuki, Yujie Xu
We write down character formulas for representations of considered in Aubert-Xu, and show that stability for -packets uniquely pins down the Local Langlands Correspondence…
math.RT2022
Gelfand-Kirillov dimension of representations of over a non-archimedean local field
Kenta Suzuki
We calculate the asymptotic behavior of the dimension of the fixed vectors of with respect to compact open subgroups for an…