تقرير
Intertwining operators between subregular Whittaker modules for $\mathfrak{gl}_N$ and non-standard quantizations
| العنوان: | Intertwining operators between subregular Whittaker modules for $\mathfrak{gl}_N$ and non-standard quantizations |
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| المؤلفون: | Kalmykov, Artem, Li, Brian |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, Mathematics - Quantum Algebra |
| الوصف: | In this paper, we study intertwining operators between subregular Whittaker modules of $\gl_N$ generalizing, on the one hand, the classical exchange construction of dynamical quantum groups, on the other hand, earlier results for principal W-algebras. We explicitly construct them using the generators of W-algebras introduced by Brundan-Kleshchev. We interpret the fusion on intertwining operators in terms of categorical actions and compute the semi-classical limit of the corresponding monoidal isomorphisms which turn out to depend on dynamical-like parameters. Comment: 18 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2310.19040 |
| رقم الأكسشن: | edsarx.2310.19040 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |