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The Yangians, Bethe Ansatz and combinatorics

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Abstract

An axiomatic definition of a quantum monodromy matrix and the representations of its corresponding Hopf algebra are discussed. The connection between the quantum inverse transform method and the representation theory of a symmetric group is considered. A new approach to the completeness problem of Bethe vectors is also given.

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Authors and Affiliations

  1. LOMI, Fontanka 27, 191011, Leningrad, U.S.S.R.

    A. N. Kirillov & N. Yu. Reshetikhin

Authors
  1. A. N. Kirillov
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  2. N. Yu. Reshetikhin
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Kirillov, A.N., Reshetikhin, N.Y. The Yangians, Bethe Ansatz and combinatorics. Lett Math Phys 12, 199–208 (1986). https://doi.org/10.1007/BF00416510

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  • DOI: https://doi.org/10.1007/BF00416510

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