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The Tambara-Yamagami calculus and finite semigroups

Year: 2026
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W7214327894
Cites: 49
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Related to: 10