Multiplicative integrable models from Poisson-Nijenhuis structures

• Autorzy: Francesco Bonechi
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 53D50: Geometric quantization
• 53D17: Poisson manifolds; Poisson groupoids and algebroids
• 37J35: Completely integrable systems, topological structure of phase space, integration methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2015
• Tom: 106
• Numer: 1
• Strony: 19-33

Daty

wydano

2015

Twórcy

autor

Francesco Bonechi

• INFN, Sezione di Firenze, 50019, Sesto Fiorentino (Firenze), Italy

Identyfikatory

DOI

10.4064/bc106-0-2