Co-Poisson structures on polynomial Hopf algebras

DOI10.1007/s11425-016-9075-6zbMath1414.17015arXiv1601.04269OpenAlexW2616843687MaRDI QIDQ1650659

Qi Lou, Quan Shui Wu

Publication date: 5 July 2018

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.04269

zbMATH Keywords

Poisson algebraco-Poisson coalgebraco-Poisson Hopf algebraPoisson Hopf algebra

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Poisson algebras (17B63) Universal enveloping algebras of Lie algebras (16S30)

Cites Work

• Twisted Poincaré duality between Poisson homology and Poisson cohomology
• Les variétés de Poisson et leurs algèbres de Lie associees
• Ring theory from symplectic geometry
• On the Poisson envelope of a Lie algebra. ``Noncommutative moment space
• On the structure of Hopf algebras
• Poisson Hopf algebra related to a twisted quantum group
• DUALITY OF CO-POISSON HOPF ALGEBRAS
• On the ring of hurwitz series
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