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Presentations of Diagram Categories
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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.
California State University, Office of the Chancellor
Title: Presentations of Diagram Categories
Description:
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.
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