Poisson structures on basic cycles
type: Item
instance of: scholarly article
title: Poisson structures on basic cycles
zbMATH Open document ID: 1303.17017
author: Xianneng Du
author: Yu Ye
author: Yan-Hong Bao
published in: Frontiers of Mathematics in China
publication date: 2012-11-07T00:00:00Z
review text: This paper uses quiver techniques to study Poisson structures on basic cycles. The authors determine the Poisson structures on basic cycles completely. Then, they give a classification of all Poisson structures on the path algebra of a basic cycle. Finally, it is shown that the Poisson structures on basic cycles are all inner.
reviewed by: Angela Gammella-Mathieu
Mathematics Subject Classification ID: 17B63
Mathematics Subject Classification ID: 16W25
zbMATH DE Number: 6102981
zbMATH Keywords: Poisson algebra
zbMATH Keywords: inner Poisson structure
zbMATH Keywords: basic cycles
zbMATH Keywords: path algebra
zbMATH Keywords: quiver techniques
MaRDI profile type: Publication
full work available at URL: s11464-012-0174-9
OpenAlex ID: W2028946281
cites work: Q4318498
cites work: Noncommutative Leibniz–Poisson Algebras
cites work: Poisson structures on moduli spaces of representations
cites work: Cohomology and deformation of Leibniz pairs
cites work: Ring theory from symplectic geometry
cites work: Finite-dimensional non-commutative Poisson algebras
cites work: Non-commutative Poisson algebra structures on affine Kac-Moody algebras
cites work: Double Poisson algebras
cites work: Noncommutative Poisson Algebras
cites work: Quiver Poisson algebras
DOI: 10.1007/S11464-012-0174-9
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description: scientific article; zbMATH DE number 6102981