  We establish a correspondence between polynomial representations of the
Temperley and Lieb algebra and certain deformations of the Quantum Hall Effect
wave functions. When the deformation parameter is a third root of unity, the
representation degenerates and the wave functions coincide with the domain wall
boundary condition partition function appearing in the conjecture of A.V.
Razumov and Y.G. Stroganov. In particular, this gives a proof of the
identification of the sum of the entries of a O(n) transfer matrix eigenvector
and a six vertex-model partition function, alternative to that of P. Di
Francesco and P. Zinn-Justin.
