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20122024
most citedUniversal K-matrices for quantum Kac-Moody algebras

29 citations · 132 across the 18 of their papers we have counts for

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math-ph2023

A Q-operator for open spin chains II: boundary factorization

Alec Cooper, Bart Vlaar, Robert Weston

One of the features of Baxter's Q-operators for many closed spin chain models is that all transfer matrices arise as products of two Q-operators with shifts in the spectral paramet…

math-ph2020★ 10 cited

A Q-operator for open spin chains I: Baxter's TQ relation

Bart Vlaar, Robert Weston

We construct a Q-operator for the open XXZ Heisenberg quantum spin chain with diagonal boundary conditions and give a rigorous derivation of Baxter's TQ relation. Key roles in the…

math-ph2018★ 7 cited

Solutions of the reflection equations

Vidas Regelskis, Bart Vlaar

We find the complete set of invertible solutions of the untwisted and twisted reflection equations for the Bazhanov-Jimbo R-matrix of type . We also show t…

math-ph2016★ 5 cited

Reflection matrices, coideal subalgebras and generalized Satake diagrams of affine type

Vidas Regelskis, Bart Vlaar

We present a generalization of the theory of quantum symmetric pairs as developed by Kolb and Letzter. We introduce a class of generalized Satake diagrams that give rise to (not ne…

math-ph2013

A non-symmetric Yang-Baxter algebra for the quantum nonlinear Schrödinger model (PhD Thesis)

Bart Vlaar

We study certain non-symmetric wavefunctions associated to the quantum nonlinear Schrödinger (QNLS) model, introduced by Komori and Hikami using representations of the degenerate a…

math-ph2012

A non-symmetric Yang-Baxter Algebra for the Quantum Nonlinear Schrödinger Model

Bart Vlaar

We study certain non-symmetric wavefunctions associated to the quantum nonlinear Schrödinger model, introduced by Komori and Hikami using Gutkin's propagation operator, which invol…