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Weak cuspidality and Howe correspondence (2011.11345v1)
Published 23 Nov 2020 in math.RT
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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