Mathematics – Quantum Algebra
Scientific paper
1999-06-06
J. reine angew. Math. 533 (2001), 207-233
Mathematics
Quantum Algebra
29 pages
Scientific paper
To an abelian category A of homological dimension 1 satisfying certain finiteness conditions, one can associate an algebra, called the Hall algebra. Kapranov studied this algebra when A is the category of coherent sheaves over a smooth projective curve defined over a finite field, and observed analogies with quantum affine algebras. We recover here in an elementary way his results in the case when the curve is the projective line.
Baumann Pierre
Kassel Christian
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