Preservation of Loewy Diagrams Under Exact Functors
Category Theory
2024-02-02 v2
Abstract
We derive sufficient conditions for exact functors on locally finite abelian categories to preserve Loewy diagrams of objects. We apply our results to determine sufficient conditions for induction functors associated to simple current extensions of vertex algebras to preserve Loewy diagrams.
Keywords
Cite
@article{arxiv.2305.01187,
title = {Preservation of Loewy Diagrams Under Exact Functors},
author = {Matthew Rupert},
journal= {arXiv preprint arXiv:2305.01187},
year = {2024}
}
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