Root systems constructed by folding of the extended Dynkin diagrams
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913097420111872 |
|---|---|
| author | Uchiumi, Ryo |
| author_facet | Uchiumi, Ryo |
| contents | The extended affine Weyl group of a root system is the semidirect product of the corresponding Weyl group by its coweight lattice. The stabilizer subgroup of the extended affine Weyl group with respect to the corresponding fundamental alcove induces a subgroup of automorphisms of the extended Dynkin diagram. In this paper, we construct a finite root system by folding by the elements of the subgroup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_05677 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Root systems constructed by folding of the extended Dynkin diagrams Uchiumi, Ryo Combinatorics Representation Theory 05E18 (Primary) 17B22 (Secondary) The extended affine Weyl group of a root system is the semidirect product of the corresponding Weyl group by its coweight lattice. The stabilizer subgroup of the extended affine Weyl group with respect to the corresponding fundamental alcove induces a subgroup of automorphisms of the extended Dynkin diagram. In this paper, we construct a finite root system by folding by the elements of the subgroup. |
| title | Root systems constructed by folding of the extended Dynkin diagrams |
| topic | Combinatorics Representation Theory 05E18 (Primary) 17B22 (Secondary) |
| url | https://arxiv.org/abs/2605.05677 |