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Original Articles

Weak Bialgebras and Monoidal Categories

, &
Pages 4584-4607 | Received 03 Mar 2011, Published online: 14 Dec 2011
 

Abstract

We study monoidal structures on the category of (co)modules over a weak bialgebra. Results due to Nill and Szlachányi are unified and extended to infinite algebras. We discuss the coalgebra structure on the source and target space of a weak bialgebra.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENTS

The first named author was supported by the Hungarian Scientific Research Fund OTKA K68195. The second and third named authors were supported by the research project G.0117.10 “Equivariant Brauer groups and Galois deformations” from FWO-Vlaanderen. All authors wish to thank Joost Vercruysse for fruitful discussions.

Notes

Communicated by S. Montgomery.

To Mia Cohen, on the occasion of her retirement.

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