  This paper seeks to construct a representation of the algebra of angular
momentum (SU(2) algebra) in terms of the operator relations corresponding to
Gentile statistics in which one quantum state can be occupied by $n$ particles.
First, we present an operator realization of Gentile statistics. Then, we
propose a representation of angular momenta. The result shows that there exist
certain underlying connections between the operator realization of Gentile
statistics and the angular momentum (SU(2)) algebra.

Statistical Mechanics