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arxiv: 2606.02249 · v1 · pith:NNHTRZDNnew · submitted 2026-06-01 · 🧮 math.RT · math.CO· math.QA

Presentations for categories of crystals

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keywords crystalscategoriesalgebracomplexexamplesfundamentalgeneratedgenerators
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We give generators and relations for the monoidal categories of crystals generated by the fundamental crystals of a simple complex Lie algebra. We also spell out several small-rank examples.

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