Weak multiplier bialgebras
Quantum Algebra
2013-10-29 v2
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.
Cite
@article{arxiv.1306.1466,
title = {Weak multiplier bialgebras},
author = {Gabriella Böhm and José Gómez-Torrecillas and Esperanza López-Centella},
journal= {arXiv preprint arXiv:1306.1466},
year = {2013}
}
Comments
LaTeX source, 39 pages