  A number of results for the level-rank duality of $G(N)_K$ $\leftrightarrow$
$G(K)_N$ Chern-Simons theory are summarized, with emphasis on the applications
to knot and link invariants. Explicit examples for $SU(2)_K$ $\leftrightarrow$
$SU(K)_2$ illustrate general results. A criterion to distinguish torus knots
and links from hyperbolic knots and links, based on tables constructed by Kaul
for one and two strand invariants, is presented. Possible symmetries of
hyperbolic knot and link invariants are discussed. The level-rank duality of
torus knot and link invariants of minimal models is examined
