Representation Theory and Baxter's TQ equation for the six-vertex model. A pedagogical overview

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A 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 2004

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