Necessary Conditions for Schur-Positivity

Peter McNamara

Necessary Conditions for Schur-Positivity

Bucknell University

Research output: Contribution to journal › Article › peer-review

Abstract

In recent years, there has been considerable interest in showing that certain conditions on skew shapes A and B are sufficient for the difference s _A - s _B of their skew Schur functions to be Schur-positive. We determine necessary conditions for the difference to be Schur-positive. Our conditions are motivated by those of Reiner, Shaw and van Willigenburg that are necessary for s _A = s _B , and we deduce a strengthening of their result as a special case.

Original language	American English
Journal	Default journal
Volume	28
State	Published - Jan 1 2008

Disciplines

Mathematics

Access to Document

http://www.facstaff.bucknell.edu/pm040/Papers/necconditions.pdf

Cite this

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AB - In recent years, there has been considerable interest in showing that certain conditions on skew shapes A and B are sufficient for the difference s A - s B of their skew Schur functions to be Schur-positive. We determine necessary conditions for the difference to be Schur-positive. Our conditions are motivated by those of Reiner, Shaw and van Willigenburg that are necessary for s A = s B , and we deduce a strengthening of their result as a special case.

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Necessary Conditions for Schur-Positivity

Abstract

Disciplines

Access to Document

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