Provides generators and relations for monoidal crystal categories of simple complex Lie algebras with explicit small-rank examples.
On rank one 2-representations of web categories
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
We classify rank one 2-representations of SL2, GL2 and SO3 web categories. The classification is inspired by similar results about quantum groups, given by reducing the problem to the classification of bilinear and trilinear forms, and is formulated such that it can be adapted to other web categories.
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2026 1verdicts
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Presentations for categories of crystals
Provides generators and relations for monoidal crystal categories of simple complex Lie algebras with explicit small-rank examples.