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math.CO2021
Quantum K-theory Chevalley formulas in the parabolic case
Takafumi Kouno, Cristian Lenart, Satoshi Naito +3
We derive cancellation-free Chevalley-type multiplication formulas in the T-equivariant quantum K-theory of Grassmannians of type A and C, and also those of two-step flag manifolds…
math.CO2021
New structure on the quantum alcove model with applications to representation theory and Schubert calculus
Takafumi Kouno, Cristian Lenart, Satoshi Naito
The quantum alcove model associated to a dominant weight plays an important role in many branches of mathematics, such as combinatorial representation theory, the theory of Macdona…