English

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

Representation Theory 2022-02-22 v2

Abstract

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

Keywords

Cite

@article{arxiv.2105.05604,
  title  = {Branching of metaplectic representation of $Sp(2, \mathbb R)$ under its principal $SL(2, \mathbb R)$-subgroup},
  author = {Genkai Zhang},
  journal= {arXiv preprint arXiv:2105.05604},
  year   = {2022}
}

Comments

Updated version, minor revision and corrections of typos after the referee's report. Representation Theory, accepted