Separation of Variables for the Quantum SL(3,ℂ) Spin Magnet: Eigenfunctions of the Sklyanin B-Operator
- Autores: Derkachov S.1, Valinevich P.1
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Afiliações:
- St. Petersburg Department of Steklov Institute of Mathematics
- Edição: Volume 242, Nº 5 (2019)
- Páginas: 658-682
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243017
- DOI: https://doi.org/10.1007/s10958-019-04505-5
- ID: 243017
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Resumo
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.
Sobre autores
S. Derkachov
St. Petersburg Department of Steklov Institute of Mathematics
Autor responsável pela correspondência
Email: derkach@pdmi.ras.ru
Rússia, St. Peterburg
P. Valinevich
St. Petersburg Department of Steklov Institute of Mathematics
Email: derkach@pdmi.ras.ru
Rússia, St. Peterburg