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GLOBALIZATION OF TWISTED PARTIAL HOPF ACTIONS

Part of: Hopf algebras, quantum groups and related topics Rings and algebras arising under various constructions

Published online by Cambridge University Press:  26 February 2016

MARCELO M. S. ALVES ,
ELIEZER BATISTA ,
MICHAEL DOKUCHAEV  and
ANTONIO PAQUES
MARCELO M. S. ALVES
Affiliation:
Departamento de Matemática, Universidade Federal do Paraná, 81531-980 Curitiba, PR, Brazil email marcelomsa@ufpr.br
ELIEZER BATISTA
Affiliation:
Departamento de Matemática, Universidade Federal de Santa Catarina, 88040-900 Florianópolis, SC, Brazil email eliezer1968@gmail.com
MICHAEL DOKUCHAEV
Affiliation:
Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão, 1010, 05508-090 São Paulo, SP, Brazil email dokucha@gmail.com
ANTONIO PAQUES*
Affiliation:
Instituto de Matemática, Universidade Federal do Rio Grande do Sul, 91509-900 Porto Alegre, RS, Brazil email paques@mat.ufrgs.br
*
✉paques@mat.ufrgs.br
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Abstract

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In this work, we review some properties of twisted partial actions of Hopf algebras on unital algebras and give necessary and sufficient conditions for a twisted partial action to have a globalization. We also elaborate a series of examples.

Keywords

partial group actionpartial Hopf actioncrossed producttwisted partial action

MSC classification

Primary: 16T05: Hopf algebras and their applications
Secondary: 16S40: Smash products of general Hopf actions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 101 , Issue 1 , August 2016 , pp. 1 - 28
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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