تقرير
On Hopf algebras over the unique $12$-dimensional Hopf algebra without the dual Chevalley property
| العنوان: | On Hopf algebras over the unique $12$-dimensional Hopf algebra without the dual Chevalley property |
|---|---|
| المؤلفون: | Xiong, Rongchuan |
| المصدر: | Communications in Algebra,2019,47(4),pp.1516-1540 |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, 16T05 |
| الوصف: | Let $\mathds{k}$ be an algebraically closed field of characteristic zero. We determine all finite-dimensional Hopf algebras over $\mathds{k}$ whose Hopf coradical is isomorphic to the unique $12$-dimensional Hopf algebra $\mathcal{C}$ without the dual Chevalley property, such that the diagrams are strictly graded and the corresponding infinitesimal braidings are indecomposable objects in ${}_{\mathcal{C}}^{\mathcal{C}}\mathcal{YD}$. In particular, we obtain new Nichols algebras of dimension $18$ and $36$ and two families of new Hopf algebras of dimension $216$. Comment: 24 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1712.00826 |
| رقم الأكسشن: | edsarx.1712.00826 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |