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arXiv · 1602.04807

Woronowicz's Tannaka-Krein duality and free orthogonal quantum groups

Sara Malacarne
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Abstract

Given a finite dimensional Hilbert space H and a collection of operators between its tensor powers satisfying certain properties, we give a category-free proof of the existence of a compact quantum group G with a fundamental representation U on H such that the intertwiners between the tensor powers of U coincide with the given collection of operators. We then explain how the general version of Woronowicz's Tannaka-Krein duality can be deduced from this.

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Sara Malacarne. 2016-02-15. Woronowicz's Tannaka-Krein duality and free orthogonal quantum groups. https://arxiv.org/abs/1602.04807

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