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arXiv · 2102.09121

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

Allan Merino
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Abstract

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 $(U(1, 1), U(n, n+1))$.

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BibTeXRIS

Allan Merino. 2021-02-18. Characters of irreducible unitary representations of $U(n, n+1)$ via double lifting from $U(1)$. https://arxiv.org/abs/2102.09121

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