Derived representation type and Gorenstein projective modules of an algebra under crossed product |
| |
Authors: | Fang Li LongGang Sun |
| |
Institution: | 1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, China
|
| |
Abstract: | Let H and its dual H* be finite dimensional semisimple Hopf algebras. In this paper, we firstly prove that the derived representation types of an algebra A and the crossed product algebra A# σ H are coincident. This is an improvement of the conclusion about representation type of an algebra in Li and Zhang Sci China Ser A, 2006, 50: 1–13]. Secondly, we give the relationship between Gorenstein projective modules over A and that over A#σH. Then, using this result, it is proven that A is a finite dimensional CM-finite Gorenstein algebra if and only if so is A# σ H. |
| |
Keywords: | |
本文献已被 CNKI SpringerLink 等数据库收录! |
|