Poisson-Nijenhuis structures on quiver path algebras
arXiv:1604.02012 · doi:10.1007/s11005-017-0940-4
Abstract
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].
23 pages
References in corpus (5)
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