Indecomposable parabolic bundles and the existence of matrices in prescribed conjugacy class closures with product equal to the identity
| dc.creator | Crawley-Boevey, William | |
| dc.date | 2003-07-17 | |
| dc.date | 2004-06-01 | |
| dc.date.accessioned | 2026-07-07T04:59:44Z | |
| dc.date.available | 2026-07-07T04:59:44Z | |
| dc.description | We study the possible dimension vectors of indecomposable parabolic bundles on the projective line, and use our answer to solve the problem of characterizing those collections of conjugacy classes of n by n matrices for which one can find matrices in their closures whose product is equal to the identity matrix. Both answers depend on the root system of a Kac-Moody Lie algebra. Our proofs use Ringel's theory of tubular algebras, work of Mihai on the existence of logarithmic connections, the Riemann-Hilbert correspondence and an algebraic version, due to Dettweiler and Reiter, of Katz's middle convolution operation. | |
| dc.description | 30 pages, various corrections and improvements | |
| dc.identifier | https://arxiv.org/abs/math/0307246 | |
| dc.identifier | http://arxiv.org/abs/math/0307246 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68107 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Rings and Algebras | |
| dc.subject | Primary 14H60, 15A24; Secondary 16G99, 34M50 | |
| dc.title | Indecomposable parabolic bundles and the existence of matrices in prescribed conjugacy class closures with product equal to the identity | |
| dc.type | text |