2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/153620We study the algebraic aspects of (small) quantum equivariant $K$-theory of flag manifold. Lascoux-Schützenberger's type formula for quantum double and quantum double dual Grothendieck polynomials and the quantum Cauchy identity for quantum Grothendieck polynomials are obtained.PlainTeX, 13 pagesQuantum Algebratext