nLab
spherical category

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Context

Monoidal categories

monoidal categories

With symmetry

With duals for objects

With duals for morphisms

With traces

  • trace

  • traced monoidal category?

Closed structure

Special sorts of products

Semisimplicity

Morphisms

Examples

Theorems

In higher category theory

Spherical categories

Idea

A spherical category is a monoidal category with duals that behaves as if its morphisms can be drawn and moved around on a sphere.

Definition

A spherical category is a pivotal category where the left and right trace operations coincide on all objects.

References

The definition is originally due to

A review is in section 2.3 of

  • Michael Müger, From Subfactors to Categories and Topology I. Frobenius algebras in and Morita equivalence of tensor categories (arXiv:0111204)

Revised on May 27, 2011 11:02:44 by Urs Schreiber (195.37.234.90)
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