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Bernstein–Zelevinsky Derivatives: a Hecke Algebra Approach
Let G be a general linear group over a p-adic field. It is well known that Bernstein components of the category of smooth representations of G are described by Hecke algebras arising from Bushnell–Kutzko types. We describe the Bernstein components of the Gelfand–Graev representation of G by explicit Hecke algebra …