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- W4320854490 abstract "Recently, Hazeltine-Liu, and independently Haan-Kim-Kwon, proved a local converse theorem for $SO_{2n}(F)$, which says that, up to an outer automorphism of $SO_{2n}(F)$, an irreducible generic representation of $SO_{2n}(F)$ is uniquely determined by its twisted gamma factors by generic representations of $GL_k(F)$ for $k=1,dots,n$. In this paper, we prove a ``refined version of a local converse theorem for the group $SO_4$ over a $p$-adic field $F$, namely, we show that a generic supercuspidal representation $pi$ of $SO_4(F)$ is uniquely determined by its $GL_1$, $GL_2$ twisted local gamma factors and a twisted exterior square local gamma factor of $pi$." @default.
- W4320854490 created "2023-02-16" @default.
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- W4320854490 date "2023-02-13" @default.
- W4320854490 modified "2023-09-28" @default.
- W4320854490 title "On a refined local converse theorem for SO(4)" @default.
- W4320854490 doi "https://doi.org/10.48550/arxiv.2302.06256" @default.
- W4320854490 hasPublicationYear "2023" @default.
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