Sklyanin Determinant for Reflection Algebra

Natasha Rozhkovskaya

Department of Mathematics, Kansas State University, USA

Abstract: 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.

Keywords: reflection equation; Sklyanin determinant.

MSC: 05E10; 17B37

Received: September 21, 2010; in final form December 23, 2010; Published online December 29, 2010

Language: English

DOI: 10.3842/SIGMA.2010.100

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ArXiv: 1009.3476