Deformed SU(2) Heisenberg chain

The general Hamiltonian for the SU(2)q-invariant arbitrary-spin Heisenberg chain is presented. Some of these interactions are shown to satisfy braid group relations and the Temperley-Lieb algebra relations. Spin 3/2 is explored in more detail and, in this case, a general solution to the braid conditions is known in the generic sense.