Provides generators and relations for monoidal crystal categories of simple complex Lie algebras with explicit small-rank examples.
Schensted-type correspondence, plactic monoid and jeu de taquin for type C
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abstract
We use Kashiwara's theory of crystal bases to study the plactic monoid for type C. Then we describe the correponding sliding and bumping algorithms.
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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.