Return to Colloquia & Seminar listing
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.