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arXiv · 2502.17379

Hall Algebras and Edge Contractions with Loops

Adhish Rele
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Abstract

We extend the study of Hall algebras and edge contractions by generalizing Yiqiang Li's work to contraction along vertices with multiple edges. Using the edge contractions, we establish new embeddings among Hall algebras in this broader setting. Our results demonstrate that these embeddings preserve key algebraic structures, including Hopf algebra operations.

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Adhish Rele. 2025-02-24. Hall Algebras and Edge Contractions with Loops. https://arxiv.org/abs/2502.17379

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