Ringel–Hall algebra
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In mathematics, a Ringel–Hall algebra is a generalization of the Hall algebra, studied by Claus Michael 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
- Lusztig, George (1991), "Quivers, perverse sheaves, and quantized enveloping algebras", Journal of the American Mathematical Society 4 (2): 365–421, doi:10.1090/S0894-0347-1991-1088333-2
- Ringel, Claus Michael (1990), "Hall algebras and quantum groups", Inventiones Mathematicae 101 (3): 583–591, doi:10.1007/BF01231516, Bibcode: 1990InMat.101..583R, https://pub.uni-bielefeld.de/record/1782088
- Schiffmann, Olivier (2006). "Lectures on Hall algebras". arXiv:math/0611617.
External links
- Hubery, Andrew W., Introduction to Ringel–Hall algebras, Bielefeld University, https://www.math.uni-bielefeld.de/~hubery/pdf-files/RHAlg.pdf
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