Ringel–Hall algebra

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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.

References

  • George Lusztig, Quivers, perverse sheaves, and quantized enveloping algebras. J. Amer. Math. Soc. 4 (1991), no. 2, 365–421.
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