Finite dimensional algebras and cellular systems
Representation Theory
2007-05-23 v1 Quantum Algebra
Rings and Algebras
Abstract
We introduce the notion of a cellular system in order to deal with quasi-hereditary algebras. We shall prove that a necessary and sufficient condition for an algebra to be quasi-hereditary is the existence of a full divisible cellular system. As a further application, we prove that the existence of a full local cellular system is a sufficient condition for a standardly stratified algebra.
Cite
@article{arxiv.math/9912061,
title = {Finite dimensional algebras and cellular systems},
author = {Jie Du},
journal= {arXiv preprint arXiv:math/9912061},
year = {2007}
}
Comments
15 pages