Decomposition of the product of a monomial and a Demazure atom

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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Published in:Discrete mathematics and theoretical computer science Vol. DMTCS Proceedings, 28th...
Main Author: Ying Pun, Anna
Format: Journal Article Conference Proceeding
Language:English
Published: DMTCS 22.04.2020
Discrete Mathematics & Theoretical Computer Science
Subjects:
[math.math-co]mathematics [math]/combinatorics [math.co]
Combinatorics
Mathematics
ISSN:1365-8050, 1462-7264, 1365-8050
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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.
AbstractList 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.
Author Ying Pun, Anna
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  fullname: Ying Pun, Anna
  organization: Department of Mathematics [Philadelphia]
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Snippet 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...
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SubjectTerms [math.math-co]mathematics [math]/combinatorics [math.co]
Combinatorics
Mathematics
Title Decomposition of the product of a monomial and a Demazure atom
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