Quiver Poisson algebras

DOI10.1016/j.jalgebra.2007.03.034zbMath1180.17007OpenAlexW2021072728MaRDI QIDQ2370233

Pu Zhang, Yuan Yao, Yu Ye

Publication date: 22 June 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.03.034

zbMATH Keywords

quiversnoncommutative Poisson algebrasinner Poisson algebras

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Deformation quantization, star products (53D55) Poisson algebras (17B63)

Related Items (21)

DG Poisson algebra and its universal enveloping algebra ⋮ The structures on the universal enveloping algebras of differential graded Poisson Hopf algebras ⋮ Poisson structures on finitary incidence algebras ⋮ -(bi)derivations and transposed Poisson algebra structures on Lie algebras ⋮ The algebraic and geometric classification of transposed Poisson algebras ⋮ Transposed Poisson structures ⋮ (Quasi-)Poisson enveloping algebras ⋮ Transposed Poisson structures on generalized Witt algebras and Block Lie algebras ⋮ Transposed Poisson structures on solvable and perfect Lie algebras ⋮ Transposed Poisson structures on Lie incidence algebras ⋮ Transposed Poisson structures on the Lie algebra of upper triangular matrices ⋮ Transposed Poisson structures on Witt type algebras ⋮ Transposed Poisson structures on Galilean and solvable Lie algebras ⋮ Poisson structures on basic cycles ⋮ Distortion of the Poisson bracket by the noncommutative Planck constants ⋮ PBW-basis for universal enveloping algebras of differential graded Poisson algebras ⋮ Cohomology structure for a Poisson algebra: I ⋮ Poisson structures for canonical algebras ⋮ On inner Poisson structures of a quantum cluster algebra without coefficients ⋮ Transposed Poisson structures on Block Lie algebras and superalgebras ⋮ Unnamed Item

Cites Work

• Necklace Lie algebras and noncommutative symplectic geometry.
• Tame algebras and integral quadratic forms
• Noncommutative geometry and quiver algebras
• Finite-dimensional non-commutative Poisson algebras
• Ring theory from symplectic geometry
• Non-commutative Poisson algebra structures on affine Kac-Moody algebras
• On the deformation of rings and algebras
• On Tame Algebras and Bocses
• Noncommutative Poisson Algebras
• Symplectic algebras and poisson algebras
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