p-adic framed braids
| dc.creator | Juyumaya, Jesus | |
| dc.creator | Lambropoulou, Sofia | |
| dc.date | 2006-04-10 | |
| dc.date | 2006-05-28 | |
| dc.date.accessioned | 2026-07-07T07:10:44Z | |
| dc.date.available | 2026-07-07T07:10:44Z | |
| dc.description | In this paper we define the $p$-adic framed braid group ${\mathcal F}_{\infty,n}$, arising as the inverse limit of the modular framed braids and we give topological generators for ${\mathcal F}_{\infty, n}$. We also give geometric interpretations for the $p$-adic framed braids. We then construct a $p$-adic Yokonuma-Hecke algebra ${\rm Y}_{\infty,n}(u)$ as the inverse limit of a family of classical Yokonuma-Hecke algebras. These are quotients of the modular framed braid groups over a quadratic relation. We also give topological generators for ${\rm Y}_{\infty,n}(u)$. Finally, we construct on this new algebra a linear trace that supports the Markov property. | |
| dc.description | 35 pages, 14 figures, LaTex document | |
| dc.identifier | https://arxiv.org/abs/math/0604228 | |
| dc.identifier | http://arxiv.org/abs/math/0604228 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111514 | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | 20C08; 57M27 | |
| dc.title | p-adic framed braids | |
| dc.type | text |