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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 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…
Vertex models for Canonical Grothendieck polynomials and their duals
Ajeeth Gunna, Paul Zinn-Justin
We study solvable lattice models associated to canonical Grothendieck polynomials and their duals. We derive inversion relations and Cauchy identities.