  Let G be the fundamental group of the complement of the torus knot of type
(m,n). We study the relationship between SU(2) and SL(2,C)-representations of
this group, looking at their characters. Using the description of the
SL(2,C)-character variety of G, X(G), we give a geometric description of
Y(G)\subset X(G), the set of characters arising from SU(2)-representations.
