String diagrams and categorification
arXiv:1806.06873 · doi:10.1007/978-3-030-63849-8
Abstract
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.
23 pages. v2: Corrected typos, added some material to Section 5
References in corpus (12)
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- On the definition of quantum Heisenberg category
- Degenerate cyclotomic Hecke algebras and higher level Heisenberg categorification
- Frobenius Heisenberg categorification
- Representations of the oriented skein category
- Affine wreath product algebras
- Minimal affinizations as projective objects
- Graded level zero integrable representations of affine Lie algebras
- The degenerate Heisenberg category and its Grothendieck ring
- Quantum loop modules
- Quantum Frobenius Heisenberg categorification
- Resolutions and a Weyl Character formula for prime representations of quantum affine sl_{n+1}