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- W4320522088 abstract "We calculate the asymptotic behavior of the dimension of the fixed vectors of $pi$ with respect to compact open subgroups $1+ M_n(mathfrak{p}^N)subsetmathrm{GL}_n(F)$ for $pi$ an admissible representation of $mathrm{GL}_n(F)$, and $F$ a nonarchimedean local field. Such dimensions can be calculated by germs of the character of $pi$. We also make some observations on how those dimensions behave under instances of Langlands functoriality, such as the Jacquet-Langlands correspondence and cyclic base change, where relations between characters are known." @default.
- W4320522088 created "2023-02-14" @default.
- W4320522088 creator A5076873950 @default.
- W4320522088 date "2022-08-10" @default.
- W4320522088 modified "2023-09-29" @default.
- W4320522088 title "Gelfand-Kirillov dimension of representations of $mathrm{GL}_n$ over a non-archimedean local field" @default.
- W4320522088 doi "https://doi.org/10.48550/arxiv.2208.05139" @default.
- W4320522088 hasPublicationYear "2022" @default.
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