Autor:	Bartocci, Claudio, Tacchella, Alberto
Rok vydání:	2016
Předmět:	Mathematical Physics 16G20 53D17 70H06
Druh dokumentu:	Working Paper
DOI:	10.1007/s11005-017-0940-4
Popis:	We introduce a notion of noncommutative Poisson-Nijenhuis structure on the path algebra of a quiver. In particular, we focus on the case when the Poisson bracket arises from a noncommutative symplectic form. The formalism is then applied to the study of the Calogero-Moser and Gibbons-Hermsen integrable systems. In the former case, we give a new interpretation of the bihamiltonian reduction performed in [3]. Comment: 23 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1604.02012 Zobrazit plný text záznamu View this record from Arxiv