Estimate of the number of one-parameter families of modules over a tame algebra
| dc.creator | Brüstle, Thomas | |
| dc.creator | Sergeichuk, Vladimir V. | |
| dc.date | 2007-09-16 | |
| dc.date.accessioned | 2026-07-07T08:29:53Z | |
| dc.date.available | 2026-07-07T08:29:53Z | |
| dc.description | The problem of classifying modules over a tame algebra A reduces to a block matrix problem of tame type whose indecomposable canonical matrices are zero- or one-parameter. Respectively, the set of nonisomorphic indecomposable modules of dimension at most d divides into a finite number f(d,A) of modules and one-parameter series of modules. We prove that the number of m-by-n canonical parametric block matrices with a given partition into blocks is bounded by 4^s, where s is the number of free entries (which is at most mn), and estimate the number f(d,A). | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/0709.2469 | |
| dc.identifier | http://arxiv.org/abs/0709.2469 | |
| dc.identifier | Linear Algebra Appl. 365 (2003) 115-133 | |
| dc.identifier | doi:10.1016/S0024-3795(02)00402-0 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138098 | |
| dc.subject | Representation Theory | |
| dc.subject | 15A21; 16G60 | |
| dc.title | Estimate of the number of one-parameter families of modules over a tame algebra | |
| dc.type | text |