Quantum group symmetry of integrable systems with or without boundary
arXiv:math/0202095 · doi:10.1142/S0217751X02010819
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.
14 pages