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

IF 0.7 3区数学 Q2 MATHEMATICS Representation Theory Pub Date : 2022-04-25 DOI:10.1090/ert/609

GenKai Zhang

引用次数: 0

Abstract

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

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𝑆𝑝(2，∈)的元表示在主(2，∈)-子群下的分支

研究了Sp(2, R) Sp(2， \mathbb R)在其主子群SL(2, R) SL(2， \mathbb R)下的形表示的分支问题。我们找到了完全分解。

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来源期刊

Representation Theory MATHEMATICS-

CiteScore

0.90

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0.00%

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期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. Representation Theory is an open access journal freely available to all readers and with no publishing fees for authors.

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