Integral Structures on H-type Lie Algebras
| dc.creator | Crandall, G. | |
| dc.creator | Dodziuk, J. | |
| dc.date | 2001-01-28 | |
| dc.date.accessioned | 2026-07-07T04:39:51Z | |
| dc.date.available | 2026-07-07T04:39:51Z | |
| dc.description | In this paper we prove that every H-type Lie algebra possesses a basis with respect to which the structure constants are integers. Existence of such an integral basis implies via the Mal'cev criterion that all simply connected H-type Lie groups contain cocompact lattices. Since the Campbell-Hausdorff formula is very simple for two-step nilpotent Lie groups we can actually avoid invoking the Mal'cev criterion and exhibit our lattices in an explicit way. As an application, we calculate the isoperimetric dimensions of H-type groups. | |
| dc.description | 13 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0101230 | |
| dc.identifier | http://arxiv.org/abs/math/0101230 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60835 | |
| dc.subject | Differential Geometry | |
| dc.subject | 22E25, 22E60 | |
| dc.title | Integral Structures on H-type Lie Algebras | |
| dc.type | text |