| Abstract: | The paper is the expanded text of a report to the International Mathematical Congress in Berkeley (1986). In it a new algebraic formalism connected with the quantum method of the inverse problem is developed.Examples are constructed of noncommutative Hopf algebras and their connection with solutions of the Yang-Baxter quantum identity are discussed.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 155, pp. 18–49, 1986. |
