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

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

arXiv comment29 Pages

References in corpus (1)

• Characters of some unitary highest weight representations via the theta correspondence