Homology of SL_n and GL_n over an infinite field
| dc.creator | Mirzaii, Behrooz | |
| dc.date | 2006-05-29 | |
| dc.date.accessioned | 2026-07-07T09:33:15Z | |
| dc.date.available | 2026-07-07T09:33:15Z | |
| dc.description | The homology of GL_n(F) and SL_n(F) is studied, where F is an infinite field. Our main theorem states that the natural map H_4(GL_3(F), k) --> H_4(GL_4(F), k) is injective where k is a field with char(k) \neq 2, 3. For algebraically closed field F, we prove a better result, namely, H_4(GL_3(F), Z) --> H_4(GL_4(F), Z) is injective. We will prove a similar result replacing GL by SL. This is used to investigate the indecomposable part of the K-group K_4(F). | |
| dc.description | 26 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0605722 | |
| dc.identifier | http://arxiv.org/abs/math/0605722 | |
| dc.identifier | published as `Homology of GLn: injectivity conjecture for GL4.' Math Ann. 304 (2008), no.1, 159-184 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159065 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 19D55;19D45 | |
| dc.title | Homology of SL_n and GL_n over an infinite field | |
| dc.type | text |