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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S. Derkachov

St. Petersburg Department of Steklov Institute of Mathematics

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Email: derkach@pdmi.ras.ru
俄罗斯联邦, St. Peterburg

P. Valinevich

St. Petersburg Department of Steklov Institute of Mathematics

Email: derkach@pdmi.ras.ru
俄罗斯联邦, St. Peterburg

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