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

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dc.creatorBaumann, Pierre
dc.creatorKassel, Christian
dc.date1999-06-06
dc.date.accessioned2026-07-07T05:29:23Z
dc.date.available2026-07-07T05:29:23Z
dc.descriptionTo 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.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/9906037
dc.identifierhttp://arxiv.org/abs/math/9906037
dc.identifierJ. reine angew. Math. 533 (2001), 207-233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78620
dc.subjectQuantum Algebra
dc.subject16S99 (Primary) 14H60, 16E60, 17B37, 81R50 (Secondary)
dc.titleThe Hall algebra of the category of coherent sheaves on the projective line
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