A hidden symmetry of a branching law

Kavli Affiliate: Toshiyuki Kobayashi

| First 5 Authors: Toshiyuki Kobayashi, Birgit Speh, , ,

| Summary:

We consider branching laws for the restriction of some irreducible unitary
representations $Pi$ of $G=O(p,q)$ to its subgroup $H=O(p-1,q)$. In Kobayashi
(arXiv:1907.07994), the irreducible subrepresentations of $O(p-1,q)$ in the
restriction of the unitary $Pi|_{O(p-1,q) }$ are determined. By considering
the restriction of packets of irreducible representations we obtain another
very simple branching law, which was conjectured in Orsted-Speh
(arXiv:1907.07544).

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