Anyonic Construction of the $S{L}_{Q,s}(2)$ Algebra

Abstract

Considering anyonic oscillators in a two-dimensional lattice, we realize the quantum semi-group $s{l}_{(q,s)}(2)$ 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.

15 pages, latex, CBPF-NF-062/93 (save the file eqnus.sty, included AFTER the {\end{document}}, on the directory you are running latex)