We give a type free formula for the expansion of k-Schur functions indexed by fundamental coweights within the affine nilCoxeter algebra. Explicit combinatorics are developed in affine type C.
(Dual-)promotion and (dual-)evacuation are bijections on SY T (λ) for any partition λ. Let c r denote the rectangular partition (c,. .. , c) of height r, and let sc k (k > 2) denote the staircase partition (k, k−1,. .. , 1). We demonstrate a promotion-and evacuation-preserving embedding of SY T (sc k) into SY T (k k+1). We hope that this result, together… (More)
BACKGROUND Physicians caring for children with serious acute neurologic disease must process overwhelming amounts of physiological and medical information. Strategies to optimize real time display of this information are understudied. OBJECTIVES Our goal was to engage clinical and engineering experts to develop guiding principles for creating a pediatric… (More)