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Twisted partial actions of Hopf algebras

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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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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal do Paraná, 81531-980, Curitiba, PR, Brazil

    Marcelo Muniz S. Alves

  2. Departamento de Matemática, Universidade Federal de Santa Catarina, 88040-900, Florianópolis, SC, Brazil

    Eliezer Batista

  3. Instituto de Matemática e Estatística, Universidade de São Paulo, 05508-090, São Paulo, SP, Brazil

    Michael Dokuchaev

  4. Instituto de Matemática, Universidade Federal do Rio Grande do Sul, 91509-900, Porto Alegre, RS, Brazil

    Antonio Paques

Authors
  1. Marcelo Muniz S. Alves
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  2. Eliezer Batista
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  3. Michael Dokuchaev
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  4. Antonio Paques
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Corresponding author

Correspondence to Marcelo Muniz S. Alves.

Additional information

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

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