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.
Bibliographical noteFunding 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@example.com (V. Reiner), firstname.lastname@example.org (K.M. Shaw), email@example.com (S. van Willigenburg).
- Ribbon Schur function
- Skew Schur function
- Symmetric function
- Weyl module