1-quasi-hereditary algebras: Examples and invariant submodules of projectives

Details 1-quasi-hereditary algebras: Examples and invariant submodules of projectives 1-quasi-hereditary algebras: Examples and invariant submodules of projectives

2012-01-19

arxiv.org/abs/1201.4311v1

Mathematics

Representation Theory

14 pages, with figures

Scientific paper

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.

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