Simple Lie groups stabilizing G-invariant norms
| Autor: | Marcell Gaál, Robert M. Guralnick |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Numerical Analysis
Pure mathematics Algebra and Number Theory Simple Lie group 010102 general mathematics Lie group 010103 numerical & computational mathematics 01 natural sciences Discrete Mathematics and Combinatorics Almost surely Geometry and Topology 0101 mathematics Invariant (mathematics) Vector space Mathematics |
| Zdroj: | Linear Algebra and its Applications. 609:308-316 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2020.09.012 |
| Popis: | We prove that when a compact simple Lie group G acts absolutely irreducibly on a vector space V, almost always the connected stabilizer of a G-invariant norm coincides with either G or the whole S O ( V ) , and the short list of exceptional cases is determined. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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