Hopf algebras arising from partial (co)actions

DOI10.1142/S0219498821400065zbMath1480.16060arXiv1911.03939MaRDI QIDQ4988174

Grasiela Martini, Danielle Azevedo, Antonio Paques, Leonardo Duarte Silva

Publication date: 12 May 2021

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

Full work available at URL: https://arxiv.org/abs/1911.03939

zbMATH Keywords

Hopf algebraspartial (co)actionspartial bismash productspartial matched pair

Mathematics Subject Classification ID

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

Related Items (1)

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

Cites Work

• Unnamed Item
• On cross product Hopf algebras.
• Partial actions of weak Hopf algebras: smash product, globalization and Morita theory.
• The structure of Hopf algebras with a projection
• Partial actions and Galois theory
• Dual constructions for partial actions of Hopf algebras.
• Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction
• Semi-direct products of Hopf algebras
• Circle actions on \(C^*\)-algebras, partial automorphisms, and a generalized Pimsner-Voiculescu exact sequence
• The factorization problem and the smash biproduct of algebras and coalgebras
• Recent developments around partial actions
• Extension theory for connected Hopf algebras
• Globalization theorems for partial Hopf (co)actions, and some of their applications
• Partial (Co)Actions of Hopf Algebras and Partial Hopf-Galois Theory
• Matched pairs of groups and bismash products of hopf algebras
• Associativity of crossed products by partial actions, enveloping actions and partial representations
• Globalizations for partial (co)actions on coalgebras
• Matched pairs of Lie groups and Hopf algebra bicrossproducts

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