تقرير
Super rewriting theory and nondegeneracy of odd categorified sl(2)
| العنوان: | Super rewriting theory and nondegeneracy of odd categorified sl(2) |
|---|---|
| المؤلفون: | Dupont, Benjamin, Ebert, Mark, Lauda, Aaron D. |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Mathematics - Category Theory, Mathematics - Representation Theory, 20G42, 17B37, 17A70, 68Q42 |
| الوصف: | We develop the rewriting theory for monoidal supercategories and 2-supercategories. This extends the theory of higher-dimensional rewriting established for (linear) 2-categories to the super setting, providing a suite of tools for constructing bases and normal forms for 2-supercategories given by generators and relations. We then employ this newly developed theory to prove the non-degeneracy conjecture for the odd categorification of quantum sl(2) from arXiv:1307.7816 and arXiv:1701.04133. As a corollary, this gives a classification of dg-structures on the odd 2-category conjectured in arXiv:1808.04924. Comment: 58 pages, tikz diagrams |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2102.00276 |
| رقم الأكسشن: | edsarx.2102.00276 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |