The 6 Vertex Model and Schubert Polynomials

We enumerate staircases with fixed left and right columns. These objects correspond to ice-configurations, or alternating sign matrices, with fixed top and bottom parts. The resulting partition functions are equal, up to a normalization factor, to some Schubert polynomials.

Bibliographic Details
Main Author: Alain Lascoux
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2007/029/