Quantum group symmetry of integrable systems with or without boundary
Quantum Algebra
2009-11-09 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0202095,
title = {Quantum group symmetry of integrable systems with or without boundary},
author = {E. Ragoucy},
journal= {arXiv preprint arXiv:math/0202095},
year = {2009}
}
Comments
14 pages