تقرير
Combinatorial bases in quantum toroidal $\mathfrak{gl}_2$ modules
| العنوان: | Combinatorial bases in quantum toroidal $\mathfrak{gl}_2$ modules |
|---|---|
| المؤلفون: | Jimbo, Michio, Mukhin, Evgeny |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Mathematical Physics, Mathematics - Combinatorics, Mathematics - Representation Theory |
| الوصف: | We show that many tame modules of the quantum toroidal $\mathfrak{gl}_2$ algebra can be explicitly constructed in a purely combinatorial way using the theory of $q$-characters. The examples include families of evaluation modules obtained from analytic continuation and automorphism twists of Verma modules of the quantum affine $\mathfrak{gl}_2$ algebra. The combinatorial bases in the modules are labeled by colored plane partitions with various properties. Comment: Latex, 26 pages, 12 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.16705 |
| رقم الأكسشن: | edsarx.2403.16705 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |