Paul Zinn-Justin

The trigonometric E-8 R-matrix

Paul Zinn-Justin

Journal article  |  2020  |  Letters in Mathematical Physics

An expression for the R-matrix associated with Uq(e8ˆ) in its 249-dimensional representation is given using the diagrammatic calcu..

Higher spin sl(2) R-matrix from equivariant (co)homology

Dmitri Bykov, Paul Zinn-Justin

Journal article  |  2020  |  LETTERS IN MATHEMATICAL PHYSICS

We compute the rational sl2R-matrix acting in the product of two spin-ℓ2 (ℓ∈ N) representations, using a method analogous to the o..

Honeycombs for Hall polynomials

Paul Zinn-Justin

Journal article  |  2020  |  The Electronic Journal of Combinatorics

We propose a new formulation of Hall polynomials in terms of honeycombs, which were previously introduced in the context of the Li..

Littlewood-Richardson coefficients for Grothendieck polynomials from integrability

Michael Wheeler, Paul Zinn-Justin

Journal article  |  2019  |  Journal für die reine und angewandte Mathematik (Crelles Journal)

We study the Littlewood-Richardson coefficients of double Grothendieck polynomials indexed by Grassmannian permutations. Geometric..

GRASSMANN-GRASSMANN CONORMAL VARIETIES, INTEGRABILITY, AND PLANE PARTITIONS

Allen Knutson, Paul Zinn-Justin

Journal article  |  2019  |  Annales de l’institut Fourier

Hall polynomials, inverse Kostka polynomials and puzzles

M Wheeler, P Zinn-Justin

Journal article  |  2018  |  Journal of Combinatorial Theory Series A

We study two different one-parameter generalizations of Littlewood–Richardson coefficients, namely Hall polynomials and generalize..

1324-avoiding permutations revisited

Andrew R Conway, Anthony J Guttmann, Paul Zinn-Justin

Journal article  |  2018  |  Advances in Applied Mathematics

We give an improved algorithm for counting the number of 1324-avoiding permutations, resulting in 14 further terms of the generati..

Loop Models and K-Theory

Paul Zinn-Justin

Journal article  |  2018  |  Symmetry Integrability and Geometry Methods and Applications

Refined Cauchy/Littlewood identities and six-vertex model partition functions: III. Deformed bosons

Michael Wheeler, Paul Zinn-Justin

Journal article  |  2016  |  Advances in Mathematics

We study Hall-Littlewood polynomials using an integrable lattice model of t-deformed bosons. Working with row-to-row transfer matr..

Theta function solutions of the quantum Knizhnik-Zamolodchikov-Bernard equation for a face model

Peter E Finch, Robert Weston, Paul Zinn-Justin

Journal article  |  2016  |  Journal of Physics A: Mathematical and Theoretical

We consider the quantum Knizhnik-Zamolodchikov-Bernard equation for a face model with elliptic weights, the SOS model. We provide ..