(Quasi-)Poisson enveloping algebras

DOI10.1007/s10114-012-1041-zzbMath1286.17020arXiv1011.5411OpenAlexW2010969695MaRDI QIDQ1942653

Yu Ye, Yan-Hong Yang, Yuan Yao

Publication date: 19 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5411

zbMATH Keywords

Poisson modulePoisson enveloping algebranon-commutative Poisson algebra

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Poisson algebras (17B63)

Related Items (10)

Cohomology structure for a Poisson algebra. II ⋮ DG Poisson algebra and its universal enveloping algebra ⋮ Enveloping Algebras and Cohomology of Leibniz Pairs ⋮ The structures on the universal enveloping algebras of differential graded Poisson Hopf algebras ⋮ Noncommutative Poisson bialgebras ⋮ Cohomology and deformation quantization of Poisson conformal algebras ⋮ PBW-basis for universal enveloping algebras of differential graded Poisson algebras ⋮ Cohomology structure for a Poisson algebra: I ⋮ Unnamed Item ⋮ Projectivity and flatness over the endomorphism ring of a finitely generated quasi-Poisson comodule

Cites Work

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• Algebras with bracket
• Noncommutative geometry and quiver algebras
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• Semiquantum geometry
• Ring theory from symplectic geometry
• Finite-dimensional simple Leibniz pairs and simple Poisson modules
• Cohomology and deformation of Leibniz pairs
• Quiver Poisson algebras
• Double Poisson algebras
• Poisson enveloping algebras
• Noncommutative Poisson Algebras
• Modules for poisson algebras
• Symplectic algebras and poisson algebras

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