Abstract： We discuss the connection between anyons (particles with fractional statistics) living on a one-dimensional lattice and slq(2) algebra. We assign to each site-anyon field, then we demand the anyonic fields to be noncommuting objects in agreement with the Chern--Simons picture of anyons. We show how the anyonic algebra can emerge from these noncommuting objects. Starting from the emerged algebra we build the slq(2) algebra at q roots of unity.
2005, Vol. 22 
