Multiplicative integrable models from Poisson–Nijenhuis structures
Volume 106 / 2015
Banach Center Publications 106 (2015), 19-33
MSC: 53D17, 53D50, 37J35.
DOI: 10.4064/bc106-0-2
Abstract
We discuss the role of Poisson–Nijenhuis (PN) geometry in the definition of multiplicative integrable models on symplectic groupoids. These are integrable models that are compatible with the groupoid structure in such a way that the set of contour levels of the hamiltonians in involution inherits a topological groupoid structure. We show that every maximal rank PN structure defines such a model. We consider the examples defined on compact hermitian symmetric spaces studied by F. Bonechi, J. Qiu and M. Tarlini (arXiv.org, 2015).
