Presentations of diagram categories

zbMath1431.18010arXiv1910.11784MaRDI QIDQ5217401

Mengwei Hu

Publication date: 27 February 2020

Full work available at URL: https://arxiv.org/abs/1910.11784

zbMATH Keywords

monoidal categorydiagrammatic algebrapartition categoryMotzkin categoryplanar rook categoryrook categoryrook-Brauer category

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Monoidal categories, symmetric monoidal categories (18M05) Combinatorial aspects of groups and algebras (05E16)

Cites Work

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• Partition algebras.
• The Brauer category and invariant theory
• The algebra of partial equivalence relations
• Embedding Deligne's category \(\underline{\mathrm{Re}}\mathrm{p}(S_t)\) in the Heisenberg category (with an appendix written with Christopher Ryba)
• String diagrams and categorification
• Jellyfish partition categories
• The planar rook algebra and Pascal's triangle.
• Monoidal categories and topological field theory
• Motzkin algebras
• On presentations of Brauer-type monoids.
• TEMPERLEY-LIEB ALGEBRAS FOR NON-PLANAR STATISTICAL MECHANICS — THE PARTITION ALGEBRA CONSTRUCTION
• An Invariant of Regular Isotopy
• Representations of the Rook-Brauer Algebra
• Turning monoidal categories into strict ones

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