تقرير
An expansion formula for type A and Kronecker quantum cluster algebras
| العنوان: | An expansion formula for type A and Kronecker quantum cluster algebras |
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| المؤلفون: | Canakci, Ilke, Lampe, Philipp |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Mathematics - Combinatorics, Mathematics - Rings and Algebras, 13F60, 17B37, 05C30 |
| الوصف: | We introduce an expansion formula for elements in quantum cluster algebras associated to type A and Kronecker quivers with principal quantization. Our formula is parametrized by perfect matchings of snake graphs as in the classical case. In the Kronecker case, the coefficients are q-powers whose exponents are given by a weight function induced by the lattice of perfect matchings. As an application, we prove that a reflectional symmetry on the set of perfect matchings satisfies Stembridge's q=-1 phenomenon with respect to the weight function. Comment: 22 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1807.07539 |
| رقم الأكسشن: | edsarx.1807.07539 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |