تقرير
Hopf brace, braid equation and bicrossed coproduct
| العنوان: | Hopf brace, braid equation and bicrossed coproduct |
|---|---|
| المؤلفون: | Zheng, Huihui, Li, Fangshu, Ma, Tianshui, Zhang, Liangyun |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras |
| الوصف: | In this paper, we mainly give some equivalent characterisations of Hopf braces, show that the category $\mathcal{CB}(A)$ of Hopf braces is equivalent to the category $\mathcal{C}(A)$ of bijective 1-cocycles, and prove that the category $\mathcal{CB}(A)$ of Hopf braces is also equivalent to the category $\mathcal{M}(A)$ of Hopf matched pairs. Moreover, we construct many more Hopf braces on polynomial Hopf algebras, Long copaired Hopf algebras and Drinfel'd doubles of finite dimensional Hopf algebras, and give a sufficient and necessary condition for a given bicrossed coproduct $A\bowtie H$ to be a Hopf brace if $A$ or $H$ is a Hopf brace. Comment: 21 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1912.01392 |
| رقم الأكسشن: | edsarx.1912.01392 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |