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Zero-relation quiver Poisson algebras

Volume 154 / 2018

Karolina Mroczyńska, Zygmunt Pogorzały 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.

Authors

  • Karolina MroczyńskaInstitute of Mathematics
    Kazimierz Wielki University
    Pl. Weyssenhoffa 11
    85-072 Bydgoszcz, Poland
    e-mail
  • Zygmunt PogorzałyFaculty of Mathematics and Computer Science
    Nicolaus Copernicus University
    87-100 Toruń, Poland
    e-mail

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