2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/25391A summary of the construction procedure of generalized versions of Baxter's Q-operator is given. Illustrated by several figures and diagrams the use of representation theory is explained step-by-step avoiding technical details. The relation with the infinite-dimensional non-abelian symmetries of the six-vertex model at roots of unity is discussed and parallels with the eight-vertex case outlined.15 pages, 7 figures. Based on a talk presented at the RIMS workshop "Progress in Solvable Lattice Models", Kyoto, July 2004Statistical Mechanicstext