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arXiv · 2305.01187

Preservation of Loewy Diagrams Under Exact Functors

Matthew Rupert
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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.

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Matthew Rupert. 2023-05-02. Preservation of Loewy Diagrams Under Exact Functors. https://doi.org/10.1016/j.jpaa.2023.107598

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