Noncommutative projective curves and quantum loop algebras
| dc.creator | Schiffmann, Olivier | |
| dc.date | 2002-05-25 | |
| dc.date | 2003-02-10 | |
| dc.date.accessioned | 2026-07-07T04:48:42Z | |
| dc.date.available | 2026-07-07T04:48:42Z | |
| dc.description | We generalize a theorem of Kapranov by showing that the Hall algebra of the category of coherent sheaves on a weighted projective line (over a finite field) provides a realization of the (quantized) enveloping algebra of a certain nilpotent subalgebra of the affinization of the correponding Kac-Moody algebra. In particular this yieds a geometric realization of the quantized enveloping algebra of 2-toroidal (or elliptic) algebras of types D_4, E_6, E_7 or E_8 in terms of weighted projective lines of genus one. | |
| dc.description | Latex, 40 pages, 2 figures, analog of Kac's conjecture added; final version to appear | |
| dc.identifier | https://arxiv.org/abs/math/0205267 | |
| dc.identifier | http://arxiv.org/abs/math/0205267 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64153 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.title | Noncommutative projective curves and quantum loop algebras | |
| dc.type | text |