تقرير
Quotients of Special Classes of Positroids
| العنوان: | Quotients of Special Classes of Positroids |
|---|---|
| المؤلفون: | Chen, Zhixing, Fei, Yumou, Gao, Jiyang, Sun, Yuxuan, Zhang, Yuchong |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, 05B35 |
| الوصف: | In this paper, we give a complete characterization of rank $k-1$ positroids that are quotients of the uniform matroid $U_{k,n}$, completing a partial result by Bendetti-Chavez-Jim\'enez. Furthermore, we show that any pair of concordant positroids with adjacent ranks are related by a cyclic shift on their decorated permutations. We also use the concept of conecklaces to give a full characterization of concordant lattice path matroids (LPMs). Comment: 32 pages, 10 figures; This research was carried out as part of the PACE program in the summer of 2023 at Peking University, Beijing; Comments very welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.05340 |
| رقم الأكسشن: | edsarx.2311.05340 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |