Multiplier Hopf algebroids. Basic theory and examples
Quantum Algebra
2017-07-19 v6
Abstract
Multiplier Hopf algebroids are algebraic versions of quantum groupoids that generalize Hopf algebroids to the non-unital case and weak (multiplier) Hopf algebras to non-separable base algebras. The main structure maps of a multiplier Hopf algebroid are a left and a right comultiplication. We show that bijectivity of two associated canonical maps is equivalent to the existence of an antipode, discuss invertibility of the antipode, and present some examples and special cases.
Cite
@article{arxiv.1307.0769,
title = {Multiplier Hopf algebroids. Basic theory and examples},
author = {Thomas Timmermann and Alfons Van Daele},
journal= {arXiv preprint arXiv:1307.0769},
year = {2017}
}
Comments
now covers the non-regular case; to appear in Comm. in Algebra