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arXiv · 2609.28957

The Tambara-Yamagami calculus and finite semigroups

Super Cao·Daniel Tubbenhauer
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Abstract

Tambara-Yamagami categories are among the simplest fusion categories beyond the pointed case: one adds a single noninvertible simple object to a finite group of invertible ones. We ask what remains of their (diagrammatic) calculus when the group is replaced by a finite semigroup, and develop the resulting (diagrammatic) calculus.

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Super Cao, Daniel Tubbenhauer. 2026-09-24. The Tambara-Yamagami calculus and finite semigroups. https://arxiv.org/abs/2609.28957

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