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arXiv · 0807.3827

Hopf images and inner faithful representations

Teodor Banica·Julien Bichon
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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.

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Teodor Banica, Julien Bichon. 2009-11-10. Hopf images and inner faithful representations. https://arxiv.org/abs/0807.3827

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