The double algebraic view of finite quantum groupoids
Quantum Algebra
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
This is an introduction to double algebras which is the structure modelled by the properties of the convolution product in Hopf algebras, weak Hopf algebras and in Hopf algebroids. We show that Hopf algebroids with a Frobenius integral can be characterized as the double algebras in which the two multiplications satisfy distributivity. We discuss questions of duality, antipode, Maschke theorem and examples.
Keywords
Cite
@article{arxiv.math/0402151,
title = {The double algebraic view of finite quantum groupoids},
author = {Kornel Szlachanyi},
journal= {arXiv preprint arXiv:math/0402151},
year = {2007}
}
Comments
48 pages, AMS-Latex