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Presentations for categories of crystals

math.RT · 2026-06-01 · unverdicted · novelty 5.0

Provides generators and relations for monoidal crystal categories of simple complex Lie algebras with explicit small-rank examples.

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  • A Graphical Calculus for Induction and Restriction on Temperley-Lieb Modules math.RT · 2026-06-22 · unverdicted · none · ref 17

    A new diagrammatic 2-category models induction and restriction on Temperley-Lieb modules, with a basis theorem implying an equivalence after Karoubi completion and a positive basis from homogenized Chebyshev polynomials.

  • Presentations for categories of crystals math.RT · 2026-06-01 · unverdicted · none · ref 28

    Provides generators and relations for monoidal crystal categories of simple complex Lie algebras with explicit small-rank examples.