A weak second term identity of the regularized Siegel-Weil formula for unitary groups

2012/05/28 by Xiong, Wei
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1205.6025

Abstract

Following W.T.Gan and S.Takeda, we obtain a weak second term identity of the regularized Siegel-Weil formula for the unitary dual pair (U(n,n),U(V)), where V is a split hermitian space of dimension 2r with r+1 ≤ n ≤ 2r-1. As an application, we obtain a Rallis inner product formula for theta lifts from U(W) to U(V) for a skew-hermitian space W of dimension n.

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