Homology of GLn: injectivity conjecture for GL4 |
| |
Authors: | Behrooz Mirzaii |
| |
Affiliation: | (1) Department of Pure Mathematics, Queen’s University Belfast, Belfast, BT7 1NN, UK |
| |
Abstract: | The homology of GL n (R) and SL n (R) is studied, where R is a commutative ‘ring with many units’. Our main theorem states that the natural map H 4(GL3(R), k) → H 4(GL4(R), k) is injective, where k is a field with char(k) ≠ 2, 3. For an algebraically closed field F, we prove a better result, namely, 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(R). |
| |
Keywords: | 19D55 18G60 20J05 |
本文献已被 SpringerLink 等数据库收录! |
|