Coincidences among skew Schur functions

Victor Reiner; Kristin M. Shaw; Stephanie van Willigenburg

doi:10.1016/j.aim.2007.05.006

Coincidences among skew Schur functions

Victor Reiner, Kristin M. Shaw, Stephanie van Willigenburg

School of Mathematics

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

30 Scopus citations

Abstract

New sufficient conditions and necessary conditions are developed for two skew diagrams to give rise to the same skew Schur function. The sufficient conditions come from a variety of new operations related to ribbons (also known as border strips or rim hooks). The necessary conditions relate to the extent of overlap among the rows or among the columns of the skew diagram.

Original language	English (US)
Pages (from-to)	118-152
Number of pages	35
Journal	Advances in Mathematics
Volume	216
Issue number	1
DOIs	https://doi.org/10.1016/j.aim.2007.05.006
State	Published - Dec 1 2007

Bibliographical note

Funding Information:
✩ The first author was supported by NSF grant DMS-0245379. The second and third authors were supported in part by the National Sciences and Engineering Research Council of Canada. The third author was supported in part by the Peter Wall Institute for Advanced Studies. * Corresponding author. E-mail addresses: [email protected] (V. Reiner), [email protected] (K.M. Shaw), [email protected] (S. van Willigenburg).

Keywords

Ribbon Schur function
Skew Schur function
Symmetric function
Weyl module

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10.1016/j.aim.2007.05.006

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title = "Coincidences among skew Schur functions",

abstract = "New sufficient conditions and necessary conditions are developed for two skew diagrams to give rise to the same skew Schur function. The sufficient conditions come from a variety of new operations related to ribbons (also known as border strips or rim hooks). The necessary conditions relate to the extent of overlap among the rows or among the columns of the skew diagram.",

keywords = "Ribbon Schur function, Skew Schur function, Symmetric function, Weyl module",

author = "Victor Reiner and Shaw, {Kristin M.} and {van Willigenburg}, Stephanie",

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AU - Reiner, Victor

AU - Shaw, Kristin M.

AU - van Willigenburg, Stephanie

N1 - Funding Information: ✩ The first author was supported by NSF grant DMS-0245379. The second and third authors were supported in part by the National Sciences and Engineering Research Council of Canada. The third author was supported in part by the Peter Wall Institute for Advanced Studies. * Corresponding author. E-mail addresses: [email protected] (V. Reiner), [email protected] (K.M. Shaw), [email protected] (S. van Willigenburg).

PY - 2007/12/1

Y1 - 2007/12/1

N2 - New sufficient conditions and necessary conditions are developed for two skew diagrams to give rise to the same skew Schur function. The sufficient conditions come from a variety of new operations related to ribbons (also known as border strips or rim hooks). The necessary conditions relate to the extent of overlap among the rows or among the columns of the skew diagram.

AB - New sufficient conditions and necessary conditions are developed for two skew diagrams to give rise to the same skew Schur function. The sufficient conditions come from a variety of new operations related to ribbons (also known as border strips or rim hooks). The necessary conditions relate to the extent of overlap among the rows or among the columns of the skew diagram.

KW - Ribbon Schur function

KW - Skew Schur function

KW - Symmetric function

KW - Weyl module

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JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 1

ER -

Coincidences among skew Schur functions

Abstract

Bibliographical note

Keywords

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