Weak cuspidality and the Howe correspondence

Epequin, Jesua

doi:10.1090/ert/625

Weak cuspidality and the Howe correspondence
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by Jesua Epequin

Represent. Theory 26 (2022), 1080-1096

DOI: https://doi.org/10.1090/ert/625

Published electronically: October 14, 2022

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Abstract:

We study the effect of the Howe correspondence on Harish-Chandra series for type I dual pairs over finite fields with odd characteristic. We define a bijection obtained from this correspondence, and enjoying the property of “having minimal unipotent support”. Finally, we examine the interaction between the Howe correspondence and weak cuspidality.

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