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Quantum groups

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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.

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 155, pp. 18–49, 1986.

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Drinfel'd, V.G. Quantum groups. J Math Sci 41, 898–915 (1988). https://doi.org/10.1007/BF01247086

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