Partial (co)actions of Taft and Nichols Hopf algebras on algebras

DOI10.1016/j.jpaa.2023.107455arXiv2208.05141MaRDI QIDQ6132826

Graziela Fonseca, Leonardo Duarte Silva, Grasiela Martini

Publication date: 17 August 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.05141

zbMATH Keywords

Taft algebrapartial actionpartial coactionNichols Hopf algebra

Mathematics Subject Classification ID

Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05)

Cites Work

• Pointed Hopf actions on fields. II
• Finite dimensional Hopf actions on Weyl algebras
• Dual constructions for partial actions of Hopf algebras.
• Pointed Hopf actions on fields. I.
• Finite dimensional quasi-Hopf algebras with radical of codimension 2.
• Skew derivations of finite-dimensional algebras and actions of the double of the Taft Hopf algebra
• Actions of Taft's algebras on finite dimensional algebras
• Partial representations of Hopf algebras
• Semisimple Hopf actions on commutative domains.
• Semisimple Hopf actions on Weyl algebras
• Finite dimensional Hopf actions on algebraic quantizations
• Partial corepresentations of Hopf algebras
• Finite dimensional Hopf actions on deformation quantizations
• Partial (Co)Actions of Hopf Algebras and Partial Hopf-Galois Theory
• Bialgebras of type one^*
• Partial (co)actions of Taft and Nichols Hopf algebras on their base fields
• Dilations of partial representations of Hopf algebras
• On finite-dimensional Hopf algebras
• The Order of the Antipode of Finite-dimensional Hopf Algebra
• Actions of some pointed Hopf algebras on path algebras of quivers

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