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Separation of Variables for the Quantum SL(3,ℂ) Spin Magnet: Eigenfunctions of the Sklyanin B-Operator

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The quantum SL(3,ℂ)-invariant spin magnet with infinite-dimensional principal series representation in local spaces is considered. We construct eigenfunctions of the Sklyanin B-operator which define the representation of separated variables of the model.

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Authors and Affiliations

  1. St. Petersburg Department of Steklov Institute of Mathematics, St. Peterburg, Russia

    S. E. Derkachov & P. A. Valinevich

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  1. S. E. Derkachov
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  2. P. A. Valinevich
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Correspondence to S. E. Derkachov.

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Dedicated to M. A. Semenov-Tian-Shansky on the occasion of his 70th birthday

Published in Zapiski Nauchnykh Seminarov POMI, Vol. 473, 2018, pp. 110–146.

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Derkachov, S.E., Valinevich, P.A. Separation of Variables for the Quantum SL(3,ℂ) Spin Magnet: Eigenfunctions of the Sklyanin B-Operator. J Math Sci 242, 658–682 (2019). https://doi.org/10.1007/s10958-019-04505-5

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