Branching of Weil Representation for G2

被引：0
|
作者：
Wang, Zhiqiang [1 ]
Fan, Xingya [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, 777 Qiushi Rd, Urumqi 830017, Peoples R China
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2025年 / 35卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Weil representation; Laurent polynomial; Plancherel formula; LAURENT POLYNOMIALS;
D O I：
10.1007/s00006-025-01370-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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). The focus is on its decomposition under the threefold cover of SL(2, R) associated with the short root of G(2).
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页数：18
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