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WEAK BRAIDED BIALGEBRAS AND WEAK ENTWINING STRUCTURES

Part of: Categories with structure

Published online by Cambridge University Press:  27 July 2009

J. N. ALONSO ÁLVAREZ ,
J. M. FERNÁNDEZ VILABOA  and
R. GONZÁLEZ RODRÍGUEZ
J. N. ALONSO ÁLVAREZ
Affiliation:
Departamento de Matemáticas, Universidad de Vigo, Campus Universitario Lagoas-Marcosende, E-36280 Vigo, Spain (email: [email protected])
J. M. FERNÁNDEZ VILABOA
Affiliation:
Departamento de Álxebra, Universidad de Santiago de Compostela, E-15771 Santiago de Compostela, Spain (email: [email protected])
R. GONZÁLEZ RODRÍGUEZ*
Affiliation:
Departamento de Matemática Aplicada II, Universidad de Vigo, Campus Universitario Lagoas-Marcosende, E-36310 Vigo, Spain (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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In this paper we clarify and improve the notion of weak braided bialgebra using weak entwining structures. As a main result we show that the notion of weak braided bialgebra can be rewritten in terms of weak entwining structures.

Keywords

monoidal categoryweak braided hopf algebraentwining structures

MSC classification

Secondary: 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 80 , Issue 2 , October 2009 , pp. 306 - 316
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

Footnotes

The authors have been supported by Ministerio de Educación, Xunta de Galicia and by FEDER, Projects: MTM2007-62427, MTM2006-14908-CO2-01, PGIDT07PXB322079PR.

References

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