  Following our recent conjecture to model the phenomenona of
antiferromagnetism and superconductivity by quantum symmetry groups, we propose
in the present note three toy models, namely, one based on SO_{q}(3) the other
two constructed with the SO_{q}(4) and SO_{q}(5) quantum groups. Possible
motivations and rationale for these choices are outlined. One of the prime
motivations underlying our proposal is the experimental observation of stripe
structure [phase] in high T_c superconductivity [HTSC] materials. A number of
experimental techniques have recently observed that the CuO_{2} are rather
inhomogeneous, providing evidence for phase separation into a two component
system. i.e. carrier-rich and carrier-poor regions. In particular, extended
x-ray absorption fine structure [EXAFS] demonstrated that these domains forms
stripes of undistorted and distorted local structures alternating with
mesoscopic length scale comparable with coherence length in HTSC.
  Evidence for our conjecture is discussed.
