Construction of representation-finite selfinjective artin algebras of classB
n andC
n |
| |
| Authors: | Yang Rixin Xiao Jie |
| |
| Institution: | 1. Dept. of Math., Anhui Normal Univ., Wuhu, China
2. Dept. of Math., Beijing Normal Univ., Beijing, China
|
| |
| Abstract: | In this paper, we discuss the representation-finite selfinjective artin algebras of classB
n andC
n and obtain the following main results:
For any fieldk, let Λ be a representation-finite selfinjective artin algebras of classB
n orC
n overk.
| (a) |
We give the configuration ofZB
n andZC
n.
|
| (b) |
We show that Λ is standard.
|
| (c) |
Under the condition ofk being a perfect field, we describe Λ by boundenk-species and show that Λ is a finite covering of the trivial extension of some tilted algebra of typeB
n orC
n.
|
|
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
