QUANTUM GROUP SYMMETRY OF INTEGRABLE SYSTEMS WITH OR WITHOUT BOUNDARY

E. Ragoucy

Type: Article

Publication Date: 2002-09-17

Citations: 5

DOI: https://doi.org/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.

Locations

arXiv (Cornell University) - View - PDF
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International Journal of Modern Physics A - View

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