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- W2898227579 abstract "In cite{lafforgue2012chtoucas}, Vicent Lafforgue attaches a semisimple Langlands parameter (or, what amounts to the same thing, a $hat{G}$-pseudocharacter) to every cuspidal automorphic representation of a reductive group $G$ over the field of functions of a smooth projective algebraic curve $X$ over a finite field. Hence, gets a decomposition of the space of cusp forms. In this note, we show that in the case of $G = SL(n)$, Lafforgue's decomposition coincides with the classical decomposition using $L$-packets, and moreover, the number of ($G$-equivalence classes of) extensions of an unramified Hecke character of $G$ to $hat{G}$-pseudocharacters serves as a natural upper bound on the multiplicity of $SL(n)$." @default.
- W2898227579 created "2018-11-02" @default.
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- W2898227579 date "2018-10-28" @default.
- W2898227579 modified "2023-09-22" @default.
- W2898227579 title "A note on the multiplicity of $SL(n)$ over function fields" @default.
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