Tensor categories: a selective guided tour

By Michael Mueger. 2008

60 citations recorded by the source corpus.

These are the, somewhat polished and updated, lecture notes for a three hour course on tensor categories, given at the CIRM, Marseille, in April 2008. The coverage in these notes is relatively non-technical, focusing on the essential ideas. They are meant to be accessible for beginners, but it is hoped that also some of the experts will find something interesting in them. Once the basic definitions are given, the focus is mainly on categories that are linear over a field k and have finite dimensional hom-spaces. Connections with quantum groups and low dimensional topology are pointed out, but these notes have no pretension to cover the latter subjects to any depth. Essentially, these notes should be considered as annotations to the extensive bibliography. We also recommend the recent review, which covers less ground in a deeper way.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/ab317ecfdba0ef668e90ce0192d56a85f42e3aaf

How researchers see this paper

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In Geometry and Topology

1. Sonia Natale
2. Alain Bruguières
3. D. Nikshych
4. Kenichi Shimizu
5. G. Bòhm

In Mathematical Physics

1. Sonia Natale
2. Alain Bruguières
3. Kenichi Shimizu
4. G. Bòhm

Citations in the corpus

• Exact sequences of tensor categories (2010, background): “See [15, 27] for a survey and a general reference on fusion categories.”