A structure and representations of diffeomorphism groups of non-Archimedean manifolds
| dc.creator | Ludkovsky, S. V. | |
| dc.date | 2000-04-19 | |
| dc.date.accessioned | 2026-07-07T06:32:48Z | |
| dc.date.available | 2026-07-07T06:32:48Z | |
| dc.description | Diffeomorphism groups $G$ of manifolds $M$ on locally $\bf F$-convex spaces over non-Archimedean fields $\bf F$ are investigated. It is shown that their structure has many differences with the diffeomorphism groups of real and complex manifolds. It is proved that $G$ is not a Banach-Lie group, but it has a neighbourhood $W$ of the unit element $e$ such that each element $g$ in $W$ belongs to at least one corresponding one-parameter subgroup. It is proved that $G$ is simple and perfect. Its compact subgroups $G_c$ are studied such that a dimension over $\bf F$ of its tangent space $dim_{\bf F}T_eG_c$ in $e$ may be infinite. This is used for decompositions of continuous representations into irreducible and investigations of induced representations. | |
| dc.description | 32 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0004126 | |
| dc.identifier | http://arxiv.org/abs/math/0004126 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98985 | |
| dc.subject | Group Theory | |
| dc.title | A structure and representations of diffeomorphism groups of non-Archimedean manifolds | |
| dc.type | text |