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math.RT2021
Characters of irreducible unitary representations of via double lifting from
Allan Merino
In this paper, we obtained character formulas of irreducible unitary representations of by using Howe's correspondence and the Cauchy--Harish-Chandra integral. The repr…
math.RT2021
Transfer of characters for discrete series representations of the unitary groups in the equal rank case via the Cauchy-Harish-Chandra integral
Allan Merino
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…