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arXiv · 1508.02032

Gan-Gross-Prasad Conjecture for U(p,q)

Hongyu He
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Abstract

In this paper, we give a proof of the Gan-Gross-Prasad conjecture for the discrete series of U(p,q). Given a discrete series representation $D(\lambda)$ in terms of the Harish-Chandra parameter, the restriction of $D(\lambda)$ to U(p-1,q) contains $D(\mu)$ as a subrepresentation if and only if $\lambda$ and $\mu$ interlaces in a very special way.

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BibTeXRIS

Hongyu He. 2015-08-09. Gan-Gross-Prasad Conjecture for U(p,q). https://doi.org/10.1007/s00222-017-0720-x

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