In mathematics, a Ringel–Hall algebra is a generalization of the Hall algebra, studied by Ringel (1990). It has a basis of equivalence classes of objects of an abelian category, and the structure constants for this basis are related to the numbers of extensions of objects in the category.
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- Ringel, Claus Michael (1990), "Hall algebras and quantum groups", Inventiones Mathematicae 101 (3): 583–591, doi:10.1007/BF01231516, MR 1062796
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