Springer Nature
Advances in Applied Clifford Algebras
,  volume 35 ,  issue 1 ,  publication number 13

Branching of Weil Representation for $$G_2$$

Publication type: Journal Article
Publication date: 2025-01-29
Springer Nature
scimago Q2
wos Q2
SJR: 0.636
CiteScore: 2.5
Impact factor: 1.2
ISSN: 01887009, 16614909
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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Wang Z. et al. Branching of Weil Representation for $$G_2$$ // Advances in Applied Clifford Algebras. 2025. Vol. 35. No. 1. 13
GOST all authors (up to 50) Copy
Wang Z., Fan X. Branching of Weil Representation for $$G_2$$ // Advances in Applied Clifford Algebras. 2025. Vol. 35. No. 1. 13
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RIS Copy
TY - JOUR
DO - 10.1007/s00006-025-01370-1
UR - https://link.springer.com/10.1007/s00006-025-01370-1
TI - Branching of Weil Representation for $$G_2$$
T2 - Advances in Applied Clifford Algebras
AU - Wang, Zhiqiang
AU - Fan, Xingya
PY - 2025
DA - 2025/01/29
PB - Springer Nature
IS - 1
VL - 35
SN - 0188-7009
SN - 1661-4909
ER -
BibTex
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@article{2025_Wang,
author = {Zhiqiang Wang and Xingya Fan},
title = {Branching of Weil Representation for $$G_2$$},
journal = {Advances in Applied Clifford Algebras},
year = {2025},
volume = {35},
publisher = {Springer Nature},
month = {jan},
url = {https://link.springer.com/10.1007/s00006-025-01370-1},
number = {1},
pages = {13},
doi = {10.1007/s00006-025-01370-1}
}