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arXiv · 2011.11345

Weak cuspidality and Howe correspondence

Jesua Epequin
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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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Jesua Epequin. 2020-11-23. Weak cuspidality and Howe correspondence. https://arxiv.org/abs/2011.11345

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