Adjointable monoidal functors and quantum groupoids
Quantum Algebra
2009-09-29 v1
Abstract
Every monoidal functor G: C --> M has a canonical factorization through the category of bimodules over some monoid R in M such that the factor U: C -->_R M_R is strongly unital. Using this result and the characterization of the forgetful functors M_A -->_R M_R of bialgebroids A over R given by Schauenburg together with their bimonad description given by the author recently here we characterize the "long" forgetful functors M_A -->_R M_R --> M of both bialgebroids and weak bialgebras.
Cite
@article{arxiv.math/0301253,
title = {Adjointable monoidal functors and quantum groupoids},
author = {K. Szlachanyi},
journal= {arXiv preprint arXiv:math/0301253},
year = {2009}
}
Comments
16 pp, AMS Latex, Talk given at "Hopf Algebras in Noncommutative Geometry and Physics", Brussels, June, 2002