The Hall algebra of the category of coherent sheaves on the projective line

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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.
29 pages

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Quantum Algebra, 16S99 (Primary) 14H60, 16E60, 17B37, 81R50 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/78620

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9906037
 http://arxiv.org/abs/math/9906037
 J. reine angew. Math. 533 (2001), 207-233

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arXiv