Mitosis recursion for coefficients of Schubert polynomials


Journal Article

Mitosis is a rule introduced by Knutson and Miller for manipulating subsets of the n × n grid. It provides an algorithm that lists the reduced pipe dreams (also known as rc-graphs) of Fomin and Kirillov for a permutation w ∈ Sn by downward induction on weak Bruhat order, thereby generating the coefficients of Schubert polynomials of Lascoux and Schützenberger inductively. This note provides a short and purely combinatorial proof of these properties of mitosis. © 2003 Published by Elsevier Inc.

Full Text

Duke Authors

Cited Authors

  • Miller, E

Published Date

  • January 1, 2003

Published In

Volume / Issue

  • 103 / 2

Start / End Page

  • 223 - 235

International Standard Serial Number (ISSN)

  • 0097-3165

Digital Object Identifier (DOI)

  • 10.1016/S0097-3165(03)00020-7

Citation Source

  • Scopus