Partial actions of a Hopf algebra on its base field and the corresponding partial smash product algebra

DOI10.1142/S0219498823501402arXiv2009.08540MaRDI QIDQ6104131

Antonio Paques, Leonardo Duarte Silva, Grasiela Martini

Publication date: 28 June 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08540

zbMATH Keywords

partial action\(\lambda\)-Hopf algebrapartial matched pair of Hopf algebraspartial smash product algebra

Mathematics Subject Classification ID

Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05) Associative rings and algebras arising under various constructions (16S99) Hopf algebras, quantum groups and related topics (16T99) Associative rings and algebras with additional structure (16W99)

Cites Work

• Hopf categories
• Partial actions of weak Hopf algebras: smash product, globalization and Morita theory.
• Partial actions and Galois theory
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• Hopf algebras of low dimension
• Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence
• Recent developments around partial actions
• Partial Hopf module categories.
• Almost involutive Hopf-Ore extensions of low dimension
• Enveloping Actions for Partial Hopf Actions
• GLOBALIZATION OF TWISTED PARTIAL HOPF ACTIONS
• Classifying Hopf algebras of a given dimension
• Partial (Co)Actions of Hopf Algebras and Partial Hopf-Galois Theory
• Associativity of crossed products by partial actions, enveloping actions and partial representations
• Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory
• Classifying pointed hopf algebras of dimension 16
• Hopf algebras arising from partial (co)actions
• The Order of the Antipode of Finite-dimensional Hopf Algebra
• Counting arguments for Hopf algebras of low dimension

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