Capitulo de libro
P-ADIC FRAMED BRAIDS AND P-ADIC MARKOV TRACES
Registro en:
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1050302
Institución
Resumen
In this paper we define the p-adic framed braid group F?,n, arising as the inverse limit of the modular framed braids. An element in F?,n can be interpreted geometrically as an infinite framed cabling. F?,n contains the classical framed braid group as a dense subgroup. This leads to a set of topological generators for F?,n and to approximations for the p-adic framed braids. We also construct a p-adic Yokonuma-Hecke algebra Y?,n(u) as the inverse limit of the classical Yokonuma-Hecke algebras. These are quotients of the modular framed braid groups over a quadratic relation. Finally, we construct on this new algebra a p-adic linear trace that supports the Markov property. Paper presented at the 1017 AMS Meeting.