Counting one-codimensional subspaces generated by subsets of a root system (Q2901388)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Counting one-codimensional subspaces generated by subsets of a root system |
scientific article; zbMATH DE number 6058639
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Counting one-codimensional subspaces generated by subsets of a root system |
scientific article; zbMATH DE number 6058639 |
Statements
20 July 2012
0 references
root system
0 references
semisimple finite prehomogeneous vector space
0 references
Counting one-codimensional subspaces generated by subsets of a root system (English)
0 references
Let \(\Phi\) be an irreducible reduced root system in a Euclidean space \(E\). The authors give a complete classification of one-codimensional subspaces of \(E\) generated by subsets of \(\Phi\). A basis for each such subspace is given explicitly for the classical types. For exceptional types (except \(G_2\)), the calculations are done using computer. The paper is concluded with an application to the classification theory of semisimple finite prehomogeneous vector spaces.
0 references
