Michael Strayer, University of North Carolina at Chapel Hill, Finite and infinite minuscule and d-complete posets from Kac-Moody representations
SAS 4201The finite minuscule and d-complete posets generalize Young and shifted Young diagrams. They have many nice combinatorial properties; for example, minuscule posets are Gaussian and Sperner, and d-complete posets have the hook length and jeu de taquin properties. Infinite analogs of the colored minuscule posets were used by R.M. Green to construct representations of many…