Email this article Separation of Variables for the Quantum SL(3,ℂ) Spin Magnet: Eigenfunctions of the Sklyanin B-Operator
- Authors: Derkachov S.E.1, Valinevich P.A.1
-
Affiliations:
- St. Petersburg Department of Steklov Institute of Mathematics
- Issue: Vol 242, No 5 (2019)
- Pages: 658-682
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243017
- DOI: https://doi.org/10.1007/s10958-019-04505-5
- ID: 243017
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
S. E. Derkachov
St. Petersburg Department of Steklov Institute of Mathematics
Author for correspondence.
Email: derkach@pdmi.ras.ru
Russian Federation, St. Peterburg
P. A. Valinevich
St. Petersburg Department of Steklov Institute of Mathematics
Email: derkach@pdmi.ras.ru
Russian Federation, St. Peterburg
