  Starting from a Hecke $R-$matrix, Jing and Zhang constructed a new
deformation $U_{q}(sl_{2})$ of $U(sl_{2})$, and studied its finite dimensional
representations in \cite{JZ}. Especically, this algebra is proved to be just a
bialgebra, and all finite dimensional irreducible representations are
constructed in \cite{JZ}. In addition, an example is given to show that not
every finite dimensional representation of this algebra is completely
reducible. In this note, we take a step further by constructing more
irreducible representations for this algebra. We first construct points of the
spectrum of the category of representations over this new deformation by using
methods in noncommutative algebraic geometry. Then applied to the study of
representations, our construction recovers all finite dimensional irreducible
representations as constructed in \cite{JZ}, and yields new families of
infinite dimensional irreducible weight representations of this new deformation
$U_{q}(sl_{2})$.
