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arXiv · 2208.06566

Theta correspondence and simple factors in global Arthur parameters

Chenyan Wu
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Abstract

By using results on poles of $L$-functions and theta correspondence, we give a bound on $b$ for $(\chi,b)$-factors of the global Arthur parameter of a cuspidal automorphic representation $\pi$ of a classical group or a metaplectic group where $\chi$ is a conjugate self-dual automorphic character and $b$ is an integer which is the dimension of an irreducible representation of $\mathrm{SL}_{2}(\mathbf{CC})$. We derive a more precise relation when $\pi$ lies in a generic global $A$-packet.

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Chenyan Wu. 2022-08-13. Theta correspondence and simple factors in global Arthur parameters. https://doi.org/10.2140/ant.2024.18.969

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