A Monoid for the Grassmannian Bruhat Order Academic Article uri icon

abstract

  • Structure constants for the multiplication of Schubert polynomials by Schur symmetric polynomials are related to the enumeration of chains in a new partial order on S, the Grassmannian Bruhat order. Here we present a monoid M related to this order. We develop a notion of reduced sequences for M and show that M is analogous to the nil-Coxeter monoid for the weak order on S. 1999 Academic Press.

published proceedings

  • European Journal of Combinatorics

author list (cited authors)

  • Bergeron, N., & Sottile, F.

citation count

  • 3

complete list of authors

  • Bergeron, N||Sottile, F

publication date

  • April 1999