Weak multiplier bialgebras
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- by Gabriella Böhm, José Gómez-Torrecillas and Esperanza López-Centella PDF
- Trans. Amer. Math. Soc. 367 (2015), 8681-8721 Request permission
Abstract:
A non-unital generalization of weak bialgebra is proposed with a multiplier-valued comultiplication. Certain canonical subalgebras of the multiplier algebra (named the ‘base algebras’) are shown to carry coseparable co-Frobenius coalgebra structures. Appropriate modules over a nice enough weak multiplier bialgebra are shown to constitute a monoidal category via the (co)module tensor product over the base (co)algebra. The relation to Van Daele and Wang’s (regular and arbitrary) weak multiplier Hopf algebra is discussed.References
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Additional Information
- Gabriella Böhm
- Affiliation: Wigner Research Centre for Physics, P.O.B. 49, H-1525 Budapest 114, Hungary
- Email: bohm.gabriella@wigner.mta.hu
- José Gómez-Torrecillas
- Affiliation: Departamento de Álgebra, Universidad de Granada, E-18071 Granada, Spain
- Email: gomezj@ugr.es
- Esperanza López-Centella
- Affiliation: Departamento de Álgebra, Universidad de Granada, E-18071 Granada, Spain
- Email: esperanza@ugr.es
- Received by editor(s): June 6, 2013
- Received by editor(s) in revised form: October 25, 2013
- Published electronically: April 9, 2015
- Additional Notes: This research was partially supported by the Spanish Ministerio de Ciencia en Innovación and the European Union, grant MTM2010-20940-C02-01, by the Hungarian Scientific Research Fund OTKA, grant K108384, and by the Nefim Fund of Wigner RCP. The authors thank Alfons Van Daele for valuable discussions from which this paper benefits a lot.
- © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 367 (2015), 8681-8721
- MSC (2010): Primary 16T05, 16T10, 16D90, 18B40
- DOI: https://doi.org/10.1090/tran/6308
- MathSciNet review: 3403069