# String diagrams and categorification

@article{Savage2018StringDA, title={String diagrams and categorification}, author={Alistair Savage}, journal={arXiv: Representation Theory}, year={2018} }

These are lectures notes for a mini-course given at the conference Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras, and Categorification in June 2018. The goal is to introduce the reader to string diagram techniques for monoidal categories, with an emphasis on their role in categorification.

## 8 Citations

Presentations of diagram categories.

- Mathematics
- 2019

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…

Presentations of linear monoidal categories and their endomorphism algebras.

- Mathematics
- 2018

We give the definition of presentations of linear monoidal categories. Our main result is that given a presentation of a linear monoidal category, we can produce a presentation of the same category…

Embedding Deligne's category $\mathrm{Rep}(S_t)$ in the Heisenberg category.

- Mathematics
- 2019

We define a faithful linear monoidal functor from the partition category, and hence from Deligne's category $\mathrm{Rep}(S_t)$, to the Heisenberg category. We show that the induced map on…

Rewriting modulo isotopies in Khovanov-Lauda-Rouquier's categorification of quantum groups

- Mathematics
- 2019

Affine oriented Frobenius Brauer categories

- Mathematics
- 2021

To any Frobenius superalgebra A we associate an oriented Frobenius Brauer category and an affine oriented Frobenius Brauer categeory. We define natural actions of these categories on categories of…

Rewriting modulo isotopies in pivotal linear (2,2)-categories

- Computer Science, MathematicsJournal of Algebra
- 2022

The algebra and machine representation of statistical models

- Computer ScienceArXiv
- 2020

This dissertation takes steps toward digitizing and systematizing two major artifacts of data science, statistical models and data analyses, by designing and implementing a software system for creating machine representations of data analyses in the form of Python or R programs.

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