Representation dimension of extensions of hereditary algebras
Representation Theory
2008-12-02 v1 Rings and Algebras
Abstract
We show that if H is a hereditary finite dimensional algebra, M is a finitely generated H-module and B is a semisimple subalgebra of the endomorphism algebra of M, then the representation dimension of the corresponding triangular matrix algebra is less or equal to 3 whenever one of the following conditions hold: i) H is of finite representation type; ii) H is tame and M is a direct sum of regular and preprojective modules; iii) M has no self-extensions
Keywords
Cite
@article{arxiv.0812.0259,
title = {Representation dimension of extensions of hereditary algebras},
author = {Manuel Saorin},
journal= {arXiv preprint arXiv:0812.0259},
year = {2008}
}
Comments
10 pages