Посилання:Sklyanin Determinant for Reflection Algebra / N. Rozhkovskaya // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 7 назв. — англ.
Підтримка:This paper is a contribution to the Proceedings of the International Workshop “Recent Advances in Quantum Integrable Systems”. The full collection is available at http://www.emis.de/journals/SIGMA/RAQIS2010.html.
The author would like to thank A.I. Molev and the referees for valuable comments and suggestions that allowed to simplify significantly the formulas and to improve the text of the paper. The travel to RAQIS’10 was supported by AWM travel grant. The research is partially supported by KSU Mentoring fellowship for WMSE.
Reflection algebras is a class of algebras associated with integrable models with boundaries. The coefficients of Sklyanin determinant generate the center of the reflection algebra. We give a combinatorial description of Sklyanin determinant suitable for explicit computations.