Publication : t18/022

Abstract:
We formulate a quantized reflection equation in which -boson valued and matrices satisfy the reflection equation up to conjugation by a solution to the Isaev-Kulish 3D reflection equation. By forming its -concatenation along the -boson Fock space followed by suitable reductions, we construct families of solutions to the reflection equation in a matrix product form connected to the 3D integrability. They involve the quantum matrices of the antisymmetric tensor representations of and the spin representations of , and .

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