Coincidences among skew Schur functions

Victor Reiner, Kristin M. Shaw, Stephanie van Willigenburg

Research output: Contribution to journalArticlepeer-review

24 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 languageEnglish (US)
Pages (from-to)118-152
Number of pages35
JournalAdvances in Mathematics
Volume216
Issue number1
DOIs
StatePublished - 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: reiner@math.umn.edu (V. Reiner), krishaw@math.ubc.ca (K.M. Shaw), steph@math.ubc.ca (S. van Willigenburg).

Keywords

  • Ribbon Schur function
  • Skew Schur function
  • Symmetric function
  • Weyl module

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