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# Mathematics > Combinatorics

# Title: Quantum K-theory Chevalley formulas in the parabolic case

(Submitted on 23 Sep 2021)

Abstract: We derive cancellation-free Chevalley-type multiplication formulas in the T-equivariant quantum K-theory of partial flag manifolds G/P of type A and C, where P is any maximal parabolic subgroup. They are obtained based on the uniform Chevalley formula in the T-equivariant quantum K-theory 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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