Universal constructions for Poisson algebras. Applications

DOI10.1016/j.jalgebra.2023.09.031arXiv2301.03807MaRDI QIDQ6066470

Ana-Loredana Agore, Gigel Militaru

Publication date: 16 November 2023

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

Full work available at URL: https://arxiv.org/abs/2301.03807

zbMATH Keywords

Poisson algebrasautomorphisms groupuniversal constructionsgradings

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Poisson algebras (17B63) Graded rings and modules (associative rings and algebras) (16W50) Bialgebras (16T10) Hopf algebras and their applications (16T05)

Cites Work

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• The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary
• Universal enveloping algebras and universal derivations of Poisson algebras
• Deformation quantization of Poisson manifolds
• The automorphisms group and the classification of gradings of finite dimensional associative algebras
• Fundamental theorem of Poisson \((A,H)\)-Hopf modules
• Equivalences of (co)module algebra structures over Hopf algebras
• A new invariant for finite dimensional Leibniz/Lie algebras
• On quantum groups associated to a pair of preregular forms
• Free Hopf algebras generated by coalgebras
• Universal coacting Poisson Hopf algebras
• Universal quantum semigroupoids
• Hopf Algebras
• Poisson cohomology and quantization.
• Double Poisson algebras
• CATEGORIES OF COMODULES AND CHAIN COMPLEXES OF MODULES
• COENDOMORPHISM LEFT BIALGEBROIDS
• V-universal Hopf algebras (co)acting on Ω-algebras
• Quantum Galois groups of subfactors
• Lectures on Poisson Geometry
• Jacobi and Poisson algebras

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