2006/04/10 by Jesús Juyumaya, Jesus Juyumaya, Sofia Lambropoulou +2 · 1 citation
Computer Science · Mathematics · #20C08 #57M27 #Advanced Algebra and Geometry #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Group Theory (math.GR) #Topological and Geometric Data Analysis #math.GR #math.GT #msc:20C08 #msc:57M27
paper · pdf · doi:10.48550/arxiv.math/0604228
35 pages, 14 figures, LaTex document
openalex publication_date 2006/04/10 · arxiv created 2006/05/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we define the p-adic framed braid group \mathcal F∞,n, arising as the inverse limit of the modular framed braids and we give topological generators for \mathcal F∞, n. We also give geometric interpretations for the p-adic framed braids. We then construct a p-adic Yokonuma-Hecke algebra \rm Y∞,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∞,n(u). Finally, we construct on this new algebra a linear trace that supports the Markov property.