Representations of reflection algebras

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.

29 pages, revised version, references added

References in corpus (2)

• Spontaneous symmetry breaking in the gl(N)-NLS hierarchy on the half line
• Twisted Yangians and folded W-algebras

Cited by in corpus (44)

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