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math.RT2024
Hecke algebras and local Langlands correspondence for non-singular depth-zero representations
Maarten Solleveld, Yujie Xu
Let G be a connected reductive group over a non-archimedean local field. We say that an irreducible depth-zero (complex) G-representation is non-singular if its cuspidal support is…
math.RT2022★ 2 cited
The Explicit Local Langlands Correspondence for
Anne-Marie Aubert, Yujie Xu
We develop a general strategy for constructing the explicit Local Langlands Correspondences for -adic reductive groups via reduction to LLC for supercuspidal representations of…
math.RT2022★ 5 cited
Hecke algebras for -adic reductive groups and Local Langlands Correspondence for Bernstein blocks
Anne-Marie Aubert, Yujie Xu
We study the endomorphism algebras attached to Bernstein components of reductive -adic groups and construct a local Langlands correspondence with the appropriate set of enhanced…