Quantum group symmetry of integrable systems with or without boundary

Details Quantum group symmetry of integrable systems with or without boundary Quantum group symmetry of integrable systems with or without boundary

2002-02-11

arxiv.org/abs/math/0202095v1

Int. J. Mod. Phys. A17 (2002) 3649

Mathematics

Quantum Algebra

14 pages

Scientific paper

10.1142/S0217751X02010819

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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