A proof of Pieri's formula using the generalized Schensted insertion algorithm for rc-graphs
arXiv:math/0010109 · doi:10.1090/S0002-9939-02-06366-9
Abstract
We provide a generalization of the Schensted insertion algorithm for rc-graphs of Bergeron and Billey. The new algorithm is used to give a new proof of Pieri's formula.
10 pages, 10 figures