تقرير
Cleft extensions of Koszul twisted Calabi-Yau algebras
| العنوان: | Cleft extensions of Koszul twisted Calabi-Yau algebras |
|---|---|
| المؤلفون: | Yu, Xiaolan, Van Oystaeyen, Fred, Zhang, Yinhuo |
| سنة النشر: | 2014 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, 16E65, 16S37, 16S40, 16S80 |
| الوصف: | Let $H$ be a twisted Calabi-Yau (CY) algebra and $\sigma$ a 2-cocycle on $H$. Let $A$ be an $N$-Koszul twisted CY algebra such that $A$ is a graded $H^\sigma$-module algebra. We show that the cleft extension $A#_\sigma H$ is also a twisted CY algebra. This result has two consequences. Firstly, the smash product of an $N$-Koszul twisted CY algebra with a twisted CY Hopf algebra is still a twisted CY algebra. Secondly, the cleft objects of a twisted CY Hopf algebra are all twisted CY algebras. As an application of this property, we determine which cleft objects of $U(\mathcal{D},\lambda)$, a class of pointed Hopf algebras introduced by Andruskiewitsch and Schneider, are Calabi-Yau algebras. Comment: The title is changed, and the content is substantially modified |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1405.6040 |
| رقم الأكسشن: | edsarx.1405.6040 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |