Branching of Weil Representation for $G_2$

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发表日期：

2025年1月29日

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Zhiqiang Wang,
Xingya Fan

摘要

This paper presents a discussion on the branching problem that arises in the Weil representation of the exceptional Lie group of type $G_2$ $G_{2}$ . The focus is on its decomposition under the threefold cover of $SL(2,\, {\mathbb {R}})$ $S L (2, R)$ associated with the short root of $G_2$ $G_{2}$ .

Branching of Weil Representation for \(G_2\)

摘要