Refinements of the Littlewood-Richardson rule

We refine the classical Littlewood-Richardson rule in several different settings. We begin with a combinatorial rule for the product of a Demazure atom and a Schur function. Building on this, we also describe the product of a quasisymmetric Schur function and a Schur function as a positive sum of qu...

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Bibliographic Details
Published in:Discrete Mathematics & Theoretical Computer Science
Main Authors: J. Haglund, K. Luoto, S. Mason, S. van Willigenburg
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2009-01-01
Subjects:
key polynomials
nonsymmetric macdonald polynomials
littlewood-richardson rule
quasisymmetric functions
schur functions
[math.math-co] mathematics [math]/combinatorics [math.co]
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Online Access:https://dmtcs.episciences.org/2744/pdf

Internet

https://dmtcs.episciences.org/2744/pdf

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