1-quasi-hereditary algebras: Examples and invariant submodules of projectives
Representation Theory
2012-01-23 v1
Abstract
In arXiv:1104.4441 it was shown that any 1-quasi-hereditary algebra affords a particular basis which is related to a given partial order on the set of simple modules. We show that the modules generated by these basis-elements are also modules over the endomorphism algebra of some projective indecomposable modules. In case the Ringel-dual of a 1-quasi-hereditary algebra is also 1-quasi-hereditary, we describe all local Delta-good submodules of projective indecomposable modules. We also consider several examples.
Keywords
Cite
@article{arxiv.1201.4311,
title = {1-quasi-hereditary algebras: Examples and invariant submodules of projectives},
author = {Daiva Pucinskaite},
journal= {arXiv preprint arXiv:1201.4311},
year = {2012}
}
Comments
14 pages, with figures