On the Standard Modules Conjecture (CROSBI ID 126110)
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Heiermann, Volker ; Muić, Goran
engleski
On the Standard Modules Conjecture
Let G be a quasi-split p-adic group. Under the assumption that the local coefficients C_\psi defined with respect to \psi-generic tempered representations of standard Levi subgroups of G are regular in the negative Weyl chamber, the authors 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.
non archimedean local fields; quasi split reductive groups; generic representations; standard modules; Langlands classification
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