On geometric objects in seven-dimensional space with fundamental group \(G_ 2\) (Q1916550)
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: On geometric objects in seven-dimensional space with fundamental group \(G_ 2\) |
scientific article; zbMATH DE number 898868
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On geometric objects in seven-dimensional space with fundamental group \(G_ 2\) |
scientific article; zbMATH DE number 898868 |
Statements
On geometric objects in seven-dimensional space with fundamental group \(G_ 2\) (English)
0 references
21 August 1996
0 references
A special Lie group \(G_2\) of dimension 14 is defined as a group of automorphisms of an algebra, which is produced by the algebra of octonions. Then a \(G_2\)-structure over a 7-dimensional manifold is considered. The properties of \(G_2\), of its subgroups and of the assigned bundles of frames are classified.
0 references
Cayley algebra
0 references
quaternions
0 references
\(G\)-structure
0 references
frame transitivity
0 references
periodic space
0 references
spinor space
0 references
automorphism algebra
0 references
