Abstract
In this work, the notion of a twisted partial Hopf action is introduced as a unified approach for twisted partial group actions, partial Hopf actions and twisted actions of Hopf algebras. The conditions on partial cocycles are established in order to construct partial crossed products, which are also related to partially cleft extensions of algebras. Examples are elaborated using algebraic groups.
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The first and second authors were partially supported by Fundação Araucária of Brazil, 490/16032. The third and fourth authors were partially supported by Fapesp of Brazil. The first and third authors were also partially supported by CNPq of Brazil.
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Alves, M.M.S., Batista, E., Dokuchaev, M. et al. Twisted partial actions of Hopf algebras. Isr. J. Math. 197, 263–308 (2013). https://doi.org/10.1007/s11856-013-0032-9
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DOI: https://doi.org/10.1007/s11856-013-0032-9