Hopf images and inner faithful representations

Details Hopf images and inner faithful representations Hopf images and inner faithful representations

2008-07-24

arxiv.org/abs/0807.3827v2

Glasg. Math. J. 52 (2010), 677-703

Mathematics

Quantum Algebra

23 pages. Introduction rewritten and several modifications

Scientific paper

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.

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