4 papers
Inhomogeneous -Whittaker polynomials II: ring theorem and positive specializations
Ajeeth Gunna, Damir Yeliussizov
We study inhomogeneous -Whittaker polynomials which extend both -Whittaker and stable Grothendieck polynomials. We prove that inhomogeneous -Whittaker polynomials (in coun…
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 algeb…
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…
Shuffle algebras, lattice paths and Macdonald functions
Alexandr Garbali, Ajeeth Gunna
We consider partition functions on the square lattice with the local Boltzmann weights given by the -matrix of the quantum algebra. We i…