Representations of reflection algebras
A. I. Molev and E. Ragoucy
Research Report 2001-6
Date: 31 July 2001
We study a class of algebras B(n,l) associated with integrable models with
boundaries. These algebras can be identified with coideal subalgebras in the
Yangian for gl(n). We construct an analog of the quantum determinant and show
that its coefficients generate the center of B(n,l). We develop an analog of
Drinfeld's highest weight theory for these algebras and give a complete
description of their finite-dimensional irreducible representations.
Yangian. reflection equation. Sklyanin determinant.
AMS Subject Classification (1991)
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Sydney Mathematics and Statistics