126 citations · 981 across the 62 of their papers we have counts for
69 papers
Inhomogeneous -Whittaker Polynomials I: Duality and Expansions
Ajeeth Gunna, Michael Wheeler, Paul Zinn-Justin
We introduce a new family of symmetric polynomials arising from exactly solvable lattice models associated with the quantised loop algebr…
Structure constants for spin Hall--Littlewood functions
Ajeeth Gunna, Michael Wheeler, Paul Zinn-Justin
We provide a combinatorial formula for the structure constants of spin Hall--Littlewood functions. This is achieved by representing these functions and the structure constants as t…
Integrability and combinatorics
Paul Zinn-Justin
We discuss the use of methods coming from integrable systems to study problems of enumerative and algebraic combinatorics, and develop two examples: the enumeration of Alternating…
Schubert puzzles and integrability III: separated descents
Allen Knutson, Paul Zinn-Justin
In paper I of this series we gave positive formulae for expanding the product of two Schubert polynomials, in the case that both had shared desce…
Shuffle algebras, lattice paths and the commuting scheme
Alexandr Garbali, Paul Zinn-Justin
The commutative trigonometric shuffle algebra is a space of symmetric rational functions satisfying certain wheel conditions. We describe a ring isomorphism between $…
Schubert puzzles and integrability II: multiplying motivic Segre classes
Allen Knutson, Paul Zinn-Justin
In Schubert Puzzles and Integrability I we proved several "puzzle rules" for computing products of Schubert classes in K-theory (and sometimes equivariant K-theory) of d-step flag…