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arXiv · 2502.19968

Tensor product decomposition for rank-one spin groups I : unitary principal series representations

Spyridon Afentoulidis-Almpanis·Gang Liu
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Abstract

We provide an explicit direct integral decomposition for the tensor product representation $\pi_1\widehat{\otimes}\pi_2$ of the rank one spin group $\mathrm{Spin}(n,1)$ whenever $\pi_1$ is a unitary principal series representation and $\pi_2$ is an arbitrary irreducible unitary representation of $\mathrm{Spin}(n,1)$.

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BibTeXRIS

Spyridon Afentoulidis-Almpanis, Gang Liu. 2025-02-27. Tensor product decomposition for rank-one spin groups I : unitary principal series representations. https://arxiv.org/abs/2502.19968

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