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String diagrams and categorification

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arxiv 1806.06873 v2 pith:3AFYHRPQ submitted 2018-06-18 math.RT math.CT

classification math.RTmath.CT
keywords algebrascategorificationstringaffinecategoriesclusterconferencecurrent
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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.

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  1. Towards interpolating categories for equivariant map algebras

    math.RT 2025-04 conditional novelty 7.0 of 10

    Categorical modules for (equivariant) map algebras are defined diagrammatically, and a candidate interpolating category Curr(OB) for current gl_n-modules is constructed, with its central fullness property left as a co...

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