Mitosis recursion for coefficients of Schubert polynomials

  • Miller E
  • 4


    Mendeley users who have this article in their library.
  • 7


    Citations of this 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.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Ezra Miller

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free