5 papers
Nonsymmetric Macdonald polynomials via integrable vertex models
Alexei Borodin, Michael Wheeler
Starting from an integrable rank- vertex model, we construct an explicit family of partition functions indexed by compositions . Using the Yang-Baxter algebr…
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…
Hall polynomials, inverse Kostka polynomials and puzzles
Michael Wheeler, Paul Zinn-Justin
We study two different one-parameter generalizations of Littlewood--Richardson coefficients, namely Hall polynomials and generalized inverse Kostka polynomials, and derive new comb…
Matrix product and sum rule for Macdonald polynomials
Luigi Cantini, Jan de Gier, Michael Wheeler
We present a new, explicit sum formula for symmetric Macdonald polynomials and show that they can be written as a trace over a product of (infinite dimensional) matrices. The…