تقرير
Classifying the near-equality of ribbon Schur functions
| العنوان: | Classifying the near-equality of ribbon Schur functions |
|---|---|
| المؤلفون: | Tom, Foster |
| المصدر: | European J. of Combin. 90 (2020) |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, Primary 05E05, Secondary 05E10, 20C30 |
| الوصف: | We consider the problem of determining when the difference of two ribbon Schur functions is a single Schur function. We fully classify the five infinite families of pairs of ribbon Schur functions whose difference is a single Schur function with corresponding partition having at most two parts at least $2$. We also prove an identity for differences of ribbon Schur functions and we determine some necessary conditions for such a difference to be Schur-positive, depending on the distribution of $1$'s and the end row lengths. Comment: 24 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.ejc.2020.103197 |
| URL الوصول: | http://arxiv.org/abs/1810.00533 |
| رقم الأكسشن: | edsarx.1810.00533 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.ejc.2020.103197 |
|---|