The Hall algebra of the category of coherent sheaves on the projective line
Baumann, Pierre ; Kassel, Christian
HAL, hal-00124673 / Harvested from HAL
Text on HAL
To an abelian category A of homological dimension one 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.
Publié le : 2001-07-05
Classification:  Hall algebra,  vector bundle on a curve,  quantum affine algebra,  MSC 16S99, 14H60, 16E60, 17B37, 81R50,  [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA] 
@article{hal-00124673,
     author = {Baumann, Pierre and Kassel, Christian},
     title = {The Hall algebra of the category of coherent sheaves on the projective line},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00124673}
}

Baumann, Pierre; Kassel, Christian. The Hall algebra of the category of coherent sheaves on the projective line. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00124673/