Construction of representation-finite selfinjective artin algebras of classB n andC n |
| |
Authors: | Yang Rixin Xiao Jie |
| |
Affiliation: | 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! |
|