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arXiv:2102.09121 [math.RT]AbstractReferencesReviewsResources

Characters of irreducible unitary representations of $U(n, n+1)$ via double lifting from $U(1)$

Allan Merino

Published 2021-02-18Version 1

In this paper, we obtained character formulas of irreducible unitary representations of $U(n, n+1)$ by using Howe's correspondence and the Cauchy--Harish-Chandra integral. The representations of $U(n, n+1)$ we are dealing with are obtained from a double lifting of a representation of $U(1)$ via the dual pairs $(U(1), U(1, 1))$ and $(U(1, 1), U(n, n+1))$.

Comments: 29 Pages
Categories: math.RT
Subjects: 22E45, 22E46, 22E30
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