Q-DEFORMED ANISOTROPIC SUPEREXCHANGE INTERACTION, FRUSTRATION AND GL(PQ)(2)

We study a suitable q-deformed version of the Moriya's superexchange i nteraction theory by means of its underlying quantum group structure. We show that the one-dimensional chain case is associated with the non -standard quantum group GL(pq)(2), evidencing the integrability struct ure of the system. This biparametric deformation of GL(2, C) arise as a twisting of GL(q)(2) and it match exactly the local rotation appeari ng in the Shekhtman's work.(1) This allow us to express the frustratio n condition in terms of this twisting, also showing that effect of the Moriya's vector amounts to a twisting of the boundary condition.