Branching of metaplectic representation of 𝑆𝑝(2,ℝ) under its principal 𝕊𝕃(2,ℝ)-subgroup

Zhang, GenKai

doi:10.1090/ert/609

Branching of metaplectic representation of $Sp(2, \mathbb R)$ under its principal $SL(2, \mathbb R)$-subgroup
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by GenKai Zhang

Represent. Theory 26 (2022), 498-514

DOI: https://doi.org/10.1090/ert/609

Published electronically: April 25, 2022

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Abstract:

We study the branching problem of the metaplectic representation of $Sp(2, \mathbb R)$ under its principle subgroup $SL(2, \mathbb R)$. We find the complete decomposition.

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