Stokes Phenomenon and Yangians
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913669680463872 |
|---|---|
| author | Tang, Qian Xu, Xiaomeng |
| author_facet | Tang, Qian Xu, Xiaomeng |
| contents | In this paper, we first establish a connection between Yangians and the unique formal solution of the quantum hypergeometric differential equations at irregular singularities. We then realize the Stokes matrices of the hypergeometric equations as infinite matrix products of representations of Yangains, with the help of the theory of difference systems. Along the way, we also investigate the algebroid structure associated with the Stokes matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17516 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stokes Phenomenon and Yangians Tang, Qian Xu, Xiaomeng Classical Analysis and ODEs Quantum Algebra 34M40, 17B37, 33D80 In this paper, we first establish a connection between Yangians and the unique formal solution of the quantum hypergeometric differential equations at irregular singularities. We then realize the Stokes matrices of the hypergeometric equations as infinite matrix products of representations of Yangains, with the help of the theory of difference systems. Along the way, we also investigate the algebroid structure associated with the Stokes matrices. |
| title | Stokes Phenomenon and Yangians |
| topic | Classical Analysis and ODEs Quantum Algebra 34M40, 17B37, 33D80 |
| url | https://arxiv.org/abs/2501.17516 |