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Quantum group symmetry of integrable systems with or without boundary

E. Ragoucy
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Abstract

We present a construction of integrable hierarchies without or with boundary, starting from a single R-matrix, or equivalently from a ZF algebra. We give explicit expressions for the Hamiltonians and the integrals of motion of the hierarchy in term of the ZF algebra. In the case without boundary, the integrals of motion form a quantum group, while in the case with boundary they form a Hopf coideal subalgebra of the quantum group.

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E. Ragoucy. 2002-02-11. Quantum group symmetry of integrable systems with or without boundary. https://doi.org/10.1142/s0217751x02010819

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