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An observation on crystal graphs

Algebra & Discrete Mathematics

Speaker: Monica Vazirani, U C Davis
Location: 693 Kerr
Start time: Mon, May 9 2005, 3:10PM

A crystal graph is a colored directed graph satisfying certain axioms. Stembridge gave a "local characterization" of those crystal graphs attached to highest weight modules of Lie algebras of simply laced type. In other words, he gave a purely graph-theoretic way of recognizing those graphs. In this talk, we observe another property these graphs have. Although not a characterizing property, it is surprising in its rigidity.