Hall algebras and edge contractions with loops
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.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Contemporary mathematics - American Mathematical Society
- Pages
- 265–286
- Publication date
- 1 July 2026
- Language
- EN