Poisson Structures on the Trivial Extensions of Hereditary Algebras of Dynkin Type An

We provide a detailed description of inner and outer Poisson structures for the trivial extension [Formula: see text], where [Formula: see text] is a hereditary algebra of Dynkin type [Formula: see text] and [Formula: see text].

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Publication Details

Journal
Algebra Colloquium
Published
2025-03-01
DOI
https://doi.org/10.1142/s1005386725000148
Primary Topic
Advanced Topics in Algebra
Type
article
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0.00
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article

Poisson Structures on the Trivial Extensions of Hereditary Algebras of Dynkin Type An

Zygmunt Pogorzały
Algebra Colloquium
Advanced Topics in Algebra
article

Poisson Structures on the Trivial Extensions of Hereditary Algebras of Dynkin Type An

Zygmunt Pogorzały
article en

Abstract

We provide a detailed description of inner and outer Poisson structures for the trivial extension [Formula: see text], where [Formula: see text] is a hereditary algebra of Dynkin type [Formula: see text] and [Formula: see text].

Algebra ColloquiumVol. 32(01)
Nicolaus Copernicus University (PL)
Openalex Percentile: Top 92%
Advanced Topics in Algebra
DOISourceOpenAlex
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Poisson Structures on the Trivial Extensions of Hereditary Algebras of Dynkin Type An — Zygmunt Pogorzały · Algebra Colloquium (2025) | TGRS Research Map | TGRS