Hopf-Galois algebras and their Poisson structures

DOI10.1080/00927872.2021.2024840zbMath1506.16044arXiv2005.13322OpenAlexW4206001418MaRDI QIDQ5080188

Huihui Zheng, Liang-yun Zhang

Publication date: 31 May 2022

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

Full work available at URL: https://arxiv.org/abs/2005.13322

zbMATH Keywords

Hopf algebraPoisson enveloping algebraHopf-Galois algebraPoisson Hopf-Galois algebraPoisson polynomial algebra

Mathematics Subject Classification ID

Poisson algebras (17B63) Hopf algebras and their applications (16T05)

Cites Work

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• Lifting via cocycle deformation.
• Fibre functors of finite dimensional comodules
• Hopf structure for Poisson enveloping algebras.
• Quantum torsors
• Liftings of Nichols algebras of diagonal type II: All liftings are cocycle deformations
• Ore extensions of Hopf algebras.
• Rota-Baxter paired modules and their constructions from Hopf algebras
• Universal enveloping algebras of Poisson Hopf algebras
• Poisson enveloping algebras
• Hopf bigalois extensions
• Poisson Polynomial Rings

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