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Conference Papers Discrete Mathematics and Theoretical Computer Science Year : 2020

Decomposition of the product of a monomial and a Demazure atom

Abstract

We prove that the product of a monomial and a Demazure atom is a positive sum of Demazure atoms combinatorially. This result proves one particular case in a conjecture which provides an approach to a combinatorial proof of Schubert positivity property.
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Dates and versions

hal-02168296 , version 1 (28-06-2019)

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Anna Ying Pun. Decomposition of the product of a monomial and a Demazure atom. 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6323⟩. ⟨hal-02168296⟩
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