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- W2232851607 abstract "Let $F$ be a non-archimedean local field and $G={bf{G}}(F)$ the group of $F$-rational points of a connected reductive $F$-group. Then we have the Langlands classification of complex irreducible admissible representations $pi$ of $G$ in terms of triples $(P,sigma,nu)$ where $Psubset G$ is a standard $F$-parabolic subgroup, $sigma$ is an irreducible tempered representation of the standard Levi-group $M_P$ and $nu in Bbb{R}otimes X^*(M_P)$ is regular with respect to $P.$ Now we consider Langlands' L-parameters $[phi]$ which conjecturally will serve as a system of parameters for the representations $pi$ and which are (roughly speaking) equivalence classes of representations $phi$ of the absolute Galois group $Gamma=text{Gal}(overline{F}|F)$ with image in Langlands' L-group $,^LG$, and we classify the possible $[phi]$ in terms of triples $(P,[,^tphi],nu)$ where the data $(P,nu)$ are the same as in the Langlands classification of representations and where $[,^tphi]$ is a tempered L-parameter of $M_P.$" @default.
- W2232851607 created "2016-06-24" @default.
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- W2232851607 date "2014-07-24" @default.
- W2232851607 modified "2023-09-27" @default.
- W2232851607 title "Langlands Classification for L-Parameters" @default.
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