Abstract
Let G be a quasi-split p-adic group. Under the assumption that the local coefficients C ψ defined with respect to ψ-generic tempered representations of standard Levi subgroups of G are regular in the negative Weyl chamber, we show that the standard module conjecture is true, which means that the Langlands quotient of a standard module is generic if and only if the standard module is irreducible.
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Heiermann, V., Muić, G. On the standard modules conjecture. Math. Z. 255, 847–853 (2007). https://doi.org/10.1007/s00209-006-0052-9
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DOI: https://doi.org/10.1007/s00209-006-0052-9