On the local structure of doubly laced crystals
Open Access Publications from the University of California

## On the local structure of doubly laced crystals

• Author(s): Sternberg, Philip
• et al.

## Published Web Location

https://arxiv.org/pdf/math/0603547.pdf
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Abstract

Let $\mathfrak{g}$ be a Lie algebra all of whose regular subalgebras of rank 2 are type $A_{1}\times A_{1}$, $A_{2}$, or $C_{2}$, and let $B$ be a crystal graph corresponding to a representation of $\mathfrak{g}$. We explicitly describe the local structure of $B$, confirming a conjecture of Stembridge.

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