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math.CO2016
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…
math-ph2016
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…
math.RT2016
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…