Finite dimensional algebras and cellular systems

Details Finite dimensional algebras and cellular systems Finite dimensional algebras and cellular systems

1999-12-08

arxiv.org/abs/math/9912061v1

Mathematics

Representation Theory

15 pages

Scientific paper

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.

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