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arXiv · 1306.1466

Weak multiplier bialgebras

Gabriella Böhm·José Gómez-Torrecillas·Esperanza López-Centella
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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 weak multiplier bialgebra are shown to constitute a monoidal category via the (co)module tensor product over the base algebra. The relation to Van Daele and Wang's (regular and arbitrary) weak multiplier Hopf algebra is discussed.

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BibTeXRIS

Gabriella Böhm, José Gómez-Torrecillas, Esperanza López-Centella. 2013-06-06. Weak multiplier bialgebras. https://arxiv.org/abs/1306.1466

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