التفاصيل البيبلوغرافية
| العنوان: |
On $n$-slice Algebras and Related Algebras |
| المؤلفون: |
Guo, Jin Yun, Xiao, Cong, Lu, Xiaojian |
| سنة النشر: |
2020 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Representation Theory, Mathematics - Rings and Algebras, 16G20, 16G60, 16S35, 20C05 |
| الوصف: |
The $n$-slice algebra is introduced as a generalization of path algebra in higher dimensional representation theory. In this paper, we give a classification of $n$-slice algebras via their $(n+1)$-preprojective algebras and the trivial extensions of their quadratic duals. One can always relate tame $n$-slice algebras to the McKay quiver of a finite subgroup of $\mathrm{GL}(n+1, \mathbb C)$. In the case of $n=2$, we describe the relations for the $2$-slice algebras related to the McKay quiver of finite Abelian subgroups of $\mathrm{SL}(3, \mathbb C)$ and of the finite subgroups obtained from embedding $\mathrm{SL}(2, \mathbb C)$ into $\mathrm{SL}(3,\mathbb C)$. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2010.03100 |
| رقم الانضمام: |
edsarx.2010.03100 |
| قاعدة البيانات: |
arXiv |