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Quantum group symmetry of integrable systems with or without boundary
Ragoucy, E.
HAL, hal-00122116 / Harvested from HAL
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.
Publié le : 2002-07-05
Classification:  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA],  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
@article{hal-00122116,
     author = {Ragoucy, E.},
     title = {Quantum group symmetry of integrable systems with or without boundary},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00122116}
}
Ragoucy, E. Quantum group symmetry of integrable systems with or without boundary. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00122116/