Anyonic Construction of the $SL_{Q,s}(2)$ Algebra
J. L. Matheus‐Valle, R-Monteiro, M. · CERN Document Server (European Organization for Nuclear Research) · 1993
Considering anyonic oscillators in a two-dimensional lattice, we realize the quantum semi-group $sl_{(q,s)}(2)$ by means of a generalized Schwinger construction. We find that the parameter $q$ of the algebra is connected to the statistical parameter, whereas the $s$ parameter is related to a $s$-deformed oscillator introduced at each point of the lattice.