Zero-relation quiver Poisson algebras
Volume 154 / 2018
Colloquium Mathematicum 154 (2018), 167-181
MSC: Primary 17B63; Secondary 16G20.
DOI: 10.4064/cm7426-12-2017
Published online: 24 August 2018
Abstract
Poisson structures on bound quiver algebras $KQ/I$ are considered, where $Q$ is a quiver without oriented cycles and $I$ is an admissible ideal in the path algebra $KQ$ generated only by paths. In particular, inner Poisson algebras on $KQ/I$ are characterized. In this way one obtains a new class of non-commutative Poisson algebras.
