Anna Ying Pun - Decomposition of the product of a monomial and a Demazure atom

dmtcs:6323 - Discrete Mathematics & Theoretical Computer Science, April 22, 2020, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) - https://doi.org/10.46298/dmtcs.6323
Decomposition of the product of a monomial and a Demazure atomArticle

Authors: Anna Ying Pun 1

  • 1 Department of Mathematics [Philadelphia]

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.

https://doi.org/10.46298/dmtcs.6323
Source: HAL:hal-02168296v1
Volume: DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
Published on: April 22, 2020
Imported on: July 4, 2016
Keywords: [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]

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