Transfer of characters for discrete series representations of the unitary groups in the equal rank case via the Cauchy-Harish-Chandra integral

Allan Merino

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arXiv · 2101.02063

Transfer of characters for discrete series representations of the unitary groups in the equal rank case via the Cauchy-Harish-Chandra integral

Allan Merino

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Abstract

As conjectured by T. Przebinda, the transfer of characters in the Howe's correspondence should be obtained via the Cauchy-Harish-Chandra integral. In this paper, we prove that the conjecture holds for the dual pair $(G = U(p, q), G' = U(r, s))$, $p+q = r+s$, starting with a discrete series representation $\Pi$ of $\widetilde{U}(p, q)$.

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BibTeX RIS

Allan Merino. 2021-01-06. Transfer of characters for discrete series representations of the unitary groups in the equal rank case via the Cauchy-Harish-Chandra integral. https://arxiv.org/abs/2101.02063

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