Geodesic
The Gelfand–Graev representation of classical groups in terms of Hecke algebras
Canadian journal of mathematics, Tome 75 (2023) no. 4, pp. 1343-1368

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DOI

Let G be a p-adic classical group. The representations in a given Bernstein component can be viewed as modules for the corresponding Hecke algebra—the endomorphism algebra of a pro-generator of the given component. Using Heiermann’s construction of these algebras, we describe the Bernstein components of the Gelfand–Graev representation for $G=\mathrm {SO}(2n+1)$, $\mathrm {Sp}(2n)$, and $\mathrm {O}(2n)$.
DOI : 10.4153/S0008414X2200030X
Mots-clés : Hecke algebras, Gelfand–Graev representation, Bernstein components 
Bakić, Petar; Savin, Gordan. The Gelfand–Graev representation of classical groups in terms of Hecke algebras. Canadian journal of mathematics, Tome 75 (2023) no. 4, pp. 1343-1368. doi: 10.4153/S0008414X2200030X
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     title = {The {Gelfand{\textendash}Graev} representation of classical groups in terms of {Hecke} algebras},
     journal = {Canadian journal of mathematics},
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     year = {2023},
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