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Representations of reflection algebras
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Representations of reflection algebras
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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.
Forward citations
Cited by 2 Pith papers
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For split types BI, CI, DI, the R-matrix and Drinfeld current presentations of twisted Yangians are isomorphic, confirming the Lu–Wang–Zhang conjecture, with closed-form Serre relations, PBW bases, and a tensor-factor...
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Solving for the integrable boundary states of the ABJM spin chain from $KT$-relations
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