Bazhanov, VladimirLukowski, TomaszMeneghelli, CarloStaudacher, Matthias2015-12-101742-5468http://hdl.handle.net/1885/59062Baxter's Q-operator is generally believed to be the most powerful tool for the exact diagonalization of integrable models. Curiously, it has hitherto not yet been properly constructed in the simplest such system, the compact spin-1/2 Heisenberg-Bethe XXXKeywords: Algebraic structures of integrable models; Integrable spin chains (vertex models); Quantum integrability (Bethe ansatz); Symmetries of integrable models201010.1088/1742-5468/2010/11/P110022016-02-24