Representations of reflection algebras

Author

A. I. Molev and E. Ragoucy

Status

Research Report 2001-6
Date: 31 July 2001

Abstract

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.

Key phrases

Yangian. reflection equation. Sklyanin determinant.

AMS Subject Classification (1991)

Primary: 81R50
Secondary:

Content

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