The idempotents of the TL_n-modules \otimes^nC^2 in terms of elements of U_qsl_2

Guillaume Provencher, Yvan Saint-Aubin

The vector space \otimes^nC^2 upon which the XXZ Hamilonian with n spins acts bears the structure of a module over both the Temperley-Lieb algebra TL_n(β=q+1/q) and the quantum alg…