2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149241The hierarchy of Integrable Spin Chain Hamiltonians, which are trigonometric analogs of the Haldane Shastry Model and of the associated higher conserved charges, is derived by a reduction from the trigonometric Dynamical Models of Bernard-Gaudin-Haldane-Pasquier. The Spin Chain Hamiltonians have the property of $U_q(\hat{gl}_2)$-invariance. The spectrum of the Hamiltonians and the $U_q(\hat{gl}_2)$-representation content of their eigenspaces are found by a descent from the Dynamical Models.amslatex, 42 pages, discrepancies between amslatex 1.1 and newer versions are rectified, two references are addedHigh Energy Physics - Theorytext