Cohomology of congruence subgroups of SL(4,Z)
| dc.creator | Ash, Avner | |
| dc.creator | Gunnells, Paul E. | |
| dc.creator | McConnell, Mark | |
| dc.date | 2000-03-30 | |
| dc.date.accessioned | 2026-07-07T04:34:33Z | |
| dc.date.available | 2026-07-07T04:34:33Z | |
| dc.description | Let $N>1$ be an integer, and let $Γ= Γ_0 (N) \subset \SL_4 (\Z)$ be the subgroup of matrices with bottom row congruent to $(0,0,0,*)\mod N$. We compute $H^5 (Γ; \C) $ for a range of $N$, and compute the action of some Hecke operators on many of these groups. We relate the classes we find to classes coming from the boundary of the Borel-Serre compactification, to Eisenstein series, and to classical holomorphic modular forms of weights 2 and 4. | |
| dc.description | 29 pp | |
| dc.identifier | https://arxiv.org/abs/math/0003219 | |
| dc.identifier | http://arxiv.org/abs/math/0003219 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58944 | |
| dc.subject | Number Theory | |
| dc.subject | 11F75 | |
| dc.title | Cohomology of congruence subgroups of SL(4,Z) | |
| dc.type | text |