Branching of Weil Representation for $$G_2$$

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED Advances in Applied Clifford Algebras Pub Date : 2025-01-29 DOI:10.1007/s00006-025-01370-1

Zhiqiang Wang, Xingya Fan

引用次数: 0

Abstract

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

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.

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