Hopf images and inner faithful representations
Quantum Algebra
2010-08-31 v2 Group Theory
Abstract
We develop a general theory of Hopf image of a Hopf algebra representation, with the associated concept of inner faithful representation, modelled on the notion of faithful representation of a discrete group. We study several examples, including group algebras, enveloping algebras of Lie algebras, pointed Hopf algebras, function algebras, twistings and cotwistings, and we present a Tannaka duality formulation of the notion of Hopf image.
Keywords
Cite
@article{arxiv.0807.3827,
title = {Hopf images and inner faithful representations},
author = {Teodor Banica and Julien Bichon},
journal= {arXiv preprint arXiv:0807.3827},
year = {2010}
}
Comments
23 pages. Introduction rewritten and several modifications