arXiv Analytics

Sign in

arXiv:0912.0911 [math.CO]AbstractReferencesReviewsResources

Schur Polynomials and the Yang-Baxter equation

Ben Brubaker, Daniel Bump, Solomon Friedberg

Published 2009-12-04, updated 2010-01-30Version 3

We show that within the six-vertex model there is a parametrized Yang-Baxter equation with nonabelian parameter group GL(2)xGL(1) at the center of the disordered regime. As an application we rederive deformations of the Weyl character formule of Tokuyama and of Hamel and King.

Comments: Revised introduction; slightly changed references
Categories: math.CO, math-ph, math.MP
Subjects: 16T25, 05E05, 82B23
Related articles: Most relevant | Search more
arXiv:1008.3094 [math.CO] (Published 2010-08-18, updated 2013-09-06)
The theory of Schur polynomials revisited
arXiv:2003.03907 [math.CO] (Published 2020-03-09)
Determinantal formulas for dual Grothendieck polynomials
arXiv:2403.10817 [math.CO] (Published 2024-03-16)
The Schur polynomials in all $n$th primitive roots of unity