"Set-theoretical" solutions of the quantum Yang-Baxter equation and a class of Garside groups
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2008
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916504545525760 |
|---|---|
| author | Chouraqui, Fabienne |
| author_facet | Chouraqui, Fabienne |
| contents | We establish a one-to-one correspondence between structure groups of non-degenerate, involutive and braided "set-theoretical" solutions of the quantum Yang-Baxter equation and Garside groups with a certain presentation. Moreover, we show that the solution is indecomposable if and only if its structure group is a $Δ-$pure Garside group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0811_4064 |
| institution | arXiv |
| publishDate | 2008 |
| record_format | arxiv |
| spellingShingle | "Set-theoretical" solutions of the quantum Yang-Baxter equation and a class of Garside groups Chouraqui, Fabienne Group Theory Mathematical Physics We establish a one-to-one correspondence between structure groups of non-degenerate, involutive and braided "set-theoretical" solutions of the quantum Yang-Baxter equation and Garside groups with a certain presentation. Moreover, we show that the solution is indecomposable if and only if its structure group is a $Δ-$pure Garside group. |
| title | "Set-theoretical" solutions of the quantum Yang-Baxter equation and a class of Garside groups |
| topic | Group Theory Mathematical Physics |
| url | https://arxiv.org/abs/0811.4064 |