Abstract

We derive cancellation-free Chevalley-type multiplication formulas for the T-equivariant quantum K-theory ring of Grassmannians of type A and C, and also those of two-step flag manifolds of type A. They are obtained based on the uniform Chevalley formula in the T-equivariant quantum K-theory ring of arbitrary flag manifolds G/B, which was derived earlier in terms of the quantum alcove model, by the last three authors.

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