Opening book details…
Can I read Noncompact Subgroups of the Reduced Stabilizer of a Locally Compact, Connected Translation Plane on EtoBox?
Noncompact Subgroups of the Reduced Stabilizer of a Locally Compact, Connected Translation Plane by Harald Löwe is a Mathematics article available to read on EtoBox.
What is Noncompact Subgroups of the Reduced Stabilizer of a Locally Compact, Connected Translation Plane about?
We investigate noncompact (closed, connected) subgroups G of the reduced stabilizer of a locally compact, connected translation plane. It turns out that there are two possibilities: If the solvable radical of G is not compact, then every Levi complement of G is a compact group. In this case G fixes precisely one or precisely two points of the translation axis L y . Apart from these fixed points, every orbit of G on L y fails to be closed in L y . The second possibility is the following: G is an almost direct product of an almost simple group D of real rank 1 and a compact group K. The only closed orbit of G in L y is the so-called weight sphere S of D (which was introduced in [10]); the compact part K of G acts trivially on S.
Who reads Noncompact Subgroups of the Reduced Stabilizer of a Locally Compact, Connected Translation Plane?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Harald Löwe
- Publisher
- Walter de Gruyter GmbH
- Published
- 2003
- Language
- EN
- Field
- Mathematics (Physical Sciences)