تقرير
The Newton polytope of the Kronecker product
| العنوان: | The Newton polytope of the Kronecker product |
|---|---|
| المؤلفون: | Panova, Greta, Zhao, Chenchen |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, Mathematics - Representation Theory |
| الوصف: | We study the Kronecker product of two Schur functions $s_\lambda\ast s_\mu$, defined as the image of the characteristic map of the product of two $S_n$ irreducible characters. We prove special cases of a conjecture of Monical--Tokcan--Yong that its monomial expansion has a saturated Newton polytope. Our proofs employ the Horn inequalities for positivity of Littlewood-Richardson coefficients and imply necessary conditions for the positivity of Kronecker coefficients. Comment: 25 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.10276 |
| رقم الأكسشن: | edsarx.2311.10276 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |