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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Vydané v:	Discrete mathematics and theoretical computer science Ročník DMTCS Proceedings, 28th...
Hlavný autor:	Ying Pun, Anna
Médium:	Journal Article Konferenčný príspevok..
Jazyk:	English
Vydavateľské údaje:	DMTCS 22.04.2020 Discrete Mathematics & Theoretical Computer Science
Predmet:	[math.math-co]mathematics [math]/combinatorics [math.co] Combinatorics Mathematics
ISSN:	1365-8050, 1462-7264, 1365-8050
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Popis
Shrnutí:	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.
ISSN:	1365-8050 1462-7264 1365-8050
DOI:	10.46298/dmtcs.6323