On the wavefront sets associated with theta representations

Fan Gao; Wan Yu Tsai

doi:10.1007/s00209-021-02894-5

On the wavefront sets associated with theta representations

Fan Gao
, Wan Yu Tsai

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

3 引文斯高帕斯（Scopus）

摘要

We study a conjectural formula for the maximal elements in the wavefront set associated with a theta representation of a covering group over p-adic fields. In particular, it is shown that the formula agrees with the existing work in the literature for various families of groups. We also recapitulate the results of an analogous formula in the archimedean case, which motivated the conjectural formula in the p-adic setting.

原文	???core.languages.en_GB???
期刊	Mathematische Zeitschrift
卷	301
發行號	1
DOIs	https://doi.org/10.1007/s00209-021-02894-5
出版狀態	已出版 - 5月 2022

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10.1007/s00209-021-02894-5

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AB - We study a conjectural formula for the maximal elements in the wavefront set associated with a theta representation of a covering group over p-adic fields. In particular, it is shown that the formula agrees with the existing work in the literature for various families of groups. We also recapitulate the results of an analogous formula in the archimedean case, which motivated the conjectural formula in the p-adic setting.

KW - Character expansion

KW - Covering groups

KW - Primitive ideals

KW - Springer correspondence

KW - Theta representation

KW - Unipotent orbits

KW - Wavefront sets

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On the wavefront sets associated with theta representations

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