4 papers · 1 filter
Colored Fermionic Vertex Models and Symmetric Functions
Amol Aggarwal, Alexei Borodin, Michael Wheeler
In this text we introduce and analyze families of symmetric functions arising as partition functions for colored fermionic vertex models associated with the quantized affine Lie su…
Modified Macdonald polynomials and integrability
Alexandr Garbali, Michael Wheeler
We derive combinatorial formulae for the modified Macdonald polynomial using coloured paths on a square lattice with quasi-cylindrical boundary conditions. The derivat…
Spin -Whittaker polynomials
Alexei Borodin, Michael Wheeler
We introduce and study a one-parameter generalization of the q-Whittaker symmetric functions. This is a family of multivariate symmetric polynomials, whose construction may be view…
Littlewood-Richardson coefficients for Grothendieck polynomials from integrability
Michael Wheeler, Paul Zinn-Justin
We study the Littlewood-Richardson coefficients of double Grothendieck polynomials indexed by Grassmannian permutations. Geometrically, these are the structure constants of the equ…