Double Poisson structures on finite dimensional semi-simple algebras

DOI10.1007/S10468-008-9088-3zbMath1207.14005arXivmath/0603533OpenAlexW2104148748MaRDI QIDQ1029576

Geert Van de Weyer

Publication date: 13 July 2009

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603533

zbMATH Keywords

quiversdouble Poisson algebrasdouble derivationsdouble Poisson bracketdouble Schouten bracket

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22)

Related Items (9)

Morphisms of double (quasi-)Poisson algebras and action-angle duality of integrable systems ⋮ Around Van den Bergh’s double brackets for different bimodule structures ⋮ Hamiltonian structures for integrable nonabelian difference equations ⋮ Poisson structures on finitary incidence algebras ⋮ Double Poisson cohomology of path algebras of quivers ⋮ Double Poisson algebras ⋮ Poisson-Gerstenhaber brackets in representation algebras ⋮ Shifted double Lie-Rinehart algebras ⋮ Double quasi-Poisson brackets: fusion and new examples

Cites Work

• The local structure of Poisson manifolds
• Affine Poisson structures
• Les variétés de Poisson et leurs algèbres de Lie associees
• Ideal classes of three-dimensional Sklyanin algebras.

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