2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79877In modern terminology, this is the first published paper where the solutions of Yang - Baxter equation "at roots of unity" were analyzed and shown to be related to algebraic curves of genus >1. They are also known now to be connected with the "chiral Potts model". The paper's abstract as written in 1986 reads: "Vacuum vectors of an L-operator form a holomorphic bundle over the vacuum curve of that operator. These notions, as well as the theory of commutation relations of the 6-vertex model, are used in this work for constructing solutions of the Yang - Baxter equation that do not possess a spectral parameter of traditional type".LaTeX, 8 pages. English translation. Appeared in Russian in `Applied Problems in Calculus', Publishing House of Chelyabinsk Polytechnical Institute, Chelyabinsk, Russia, 1986, pages 39 - 48Exactly Solvable and Integrable SystemsCondensed MatterMathematical PhysicsQuantum Algebratext