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arXiv · 2512.17177

Generalized diagram categories and monoids, and their representations

Matthias Fresacher·Willow Stewart·Daniel Tubbenhauer
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Abstract

Classical diagram categories and monoids, including the Temperley--Lieb, Brauer, and partition cases, arise as special instances of the category of two dimensional cobordisms and admit additional twists that produce a large new family of diagram categories and monoids. In this paper we introduce this family and develop a unified approach to their representation theory.

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BibTeXRIS

Matthias Fresacher, Willow Stewart, Daniel Tubbenhauer. 2025-12-19. Generalized diagram categories and monoids, and their representations. https://arxiv.org/abs/2512.17177

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