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arXiv 2006-03-22 0 views

On the local structure of doubly laced crystals

Sternberg, Philip

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Let g be a Lie algebra all of whose regular subalgebras of rank 2 are type A₁× A₁, A₂, or C₂, and let B be a crystal graph corresponding to a representation of g. We explicitly describe the local structure of B, confirming a conjecture of Stembridge.

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