Multiplicative integrable models from Poisson-Nijenhuis structures

Francesco Bonechi. "Multiplicative integrable models from Poisson-Nijenhuis structures." Banach Center Publications 106.1 (2015): 19-33. <http://eudml.org/doc/282206>.

@article{FrancescoBonechi2015,
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).},
author = {Francesco Bonechi},
journal = {Banach Center Publications},
keywords = {multiplicative integrable models; symplectic groupoids; Hermitian symmetric spaces},
language = {eng},
number = {1},
pages = {19-33},
title = {Multiplicative integrable models from Poisson-Nijenhuis structures},
url = {http://eudml.org/doc/282206},
volume = {106},
year = {2015},
}

TY - JOUR
AU - Francesco Bonechi
TI - Multiplicative integrable models from Poisson-Nijenhuis structures
JO - Banach Center Publications
PY - 2015
VL - 106
IS - 1
SP - 19
EP - 33
AB - 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).
LA - eng
KW - multiplicative integrable models; symplectic groupoids; Hermitian symmetric spaces
UR - http://eudml.org/doc/282206
ER -