Corpus ID: 235458465

New structure on the quantum alcove model with applications to representation theory and Schubert calculus

@inproceedings{Kouno2021NewSO,
  title={New structure on the quantum alcove model with applications to representation theory and Schubert calculus},
  author={Takafumi Kouno and C. Lenart and S. Naito},
  year={2021}
}
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 Macdonald polynomials, and Schubert calculus. For a dominant weight, it is proved by Lenart-Lubovsky that the quantum alcove model does not depend on the choice of a reduced alcove path, which is a shortest path of alcoves from the fundamental one to its translation by the given dominant weight. This is established through… Expand

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