Abstract
We construct integrable Hamiltonian systems on G/K, where G is a coboundary Poisson-Lie group and K is a Lie subgroup arising as the fixed point set of a group automorphism σ of G satisfying the classical reflection equation. We show that the time evolution of these systems is described by a Lax equation, and under a factorizability assumption, present its solution in terms of a factorization problem in G. Our construction is closely related to the semiclassical limit of Sklyanin's integrable quantum spin chains with reflecting boundaries.
Original language | English (US) |
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Pages (from-to) | 1-23 |
Number of pages | 23 |
Journal | International Mathematics Research Notices |
Volume | 2016 |
Issue number | 1 |
DOIs | |
State | Published - 2016 |
ASJC Scopus subject areas
- General Mathematics