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Representations of reflection algebras

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arxiv math/0107213 v2 pith:ZERD7TW3 submitted 2001-07-30 math.QA math-phmath.MP

A.I. Molev , E. Ragoucy This is my paper · ORCID
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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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Derivations for the MPS overlap formulas of rational spin chains

    hep-th 2025-05 conditional novelty 7.0 of 10

    A universal, representation-independent MPS overlap formula is proved for glN rational spin chains and proposed for soN and spN chains.

  2. Twisted Yangians of types BI, CI, DI and Drinfeld type current relations

    math.QA 2026-07 conditional novelty 6.0 of 10

    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...

  3. Solving for the integrable boundary states of the ABJM spin chain from $KT$-relations

    hep-th 2026-07 accept novelty 6.0 of 10

    Integrable chiral and achiral n-site boundary states of the ABJM spin chain are obtained by solving KT-relations for elementary blocks and K(u), with nontrivial solutions for even n and operator-valued 1-site Clifford pairs.

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