Presentations of Diagram Categories
Keywords: rook category; planar rook category; rook-Brauer category; Motzkin category; partition category; monoidal category; diagrammatic algebra
We describe the planar rook category, the rook category, the rook-Brauer category, and the Motzkin category in terms of generators and relations. We show that the morphism spaces of these categories have linear bases given by planar rook diagrams, rook diagrams, rook-Brauer diagrams, and Motzkin diagrams.
How to Cite
Hu, M. (2019). Presentations of Diagram Categories. The PUMP Journal of Undergraduate Research, 3, 1-25. Retrieved from https://journals.calstate.edu/pump/article/view/2256
Copyright (c) 2019 Mengwei Hu
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