تقرير
Diagram categories of Brauer type
| العنوان: | Diagram categories of Brauer type |
|---|---|
| المؤلفون: | Barbier, Sigiswald |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, Mathematics - Category Theory, Mathematics - Quantum Algebra, 18M05, 18M30 (Primary) 17B10 (Secondary) |
| الوصف: | This paper introduces monoidal (super)categories resembling the Brauer category. For all categories, we can construct bases of the hom-spaces using Brauer diagrams. These categories include the Brauer category, its deformation the BWM-category, the periplectic Brauer category, and its deformation the periplectic $q$-Brauer category but also some new exotic categories. We show that the BWM-category is the unique deformation of the Brauer category in this framework, while the periplectic Brauer category has two deformations, which are each other monoidal opposite. Comment: 44 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.18436 |
| رقم الأكسشن: | edsarx.2406.18436 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |