The Lie triple system of the symmetric space \(F_4/ \operatorname{Spin}(9)\). (Q1811387)
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: The Lie triple system of the symmetric space \(F_4/ \operatorname{Spin}(9)\). |
scientific article; zbMATH DE number 1925753
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Lie triple system of the symmetric space \(F_4/ \operatorname{Spin}(9)\). |
scientific article; zbMATH DE number 1925753 |
Statements
The Lie triple system of the symmetric space \(F_4/ \operatorname{Spin}(9)\). (English)
0 references
2002
0 references
The author describes the Lie triple system of the Cayley projective plane, viewed as the symmetric space \(F_4/ \text{Spin}(9)\), in terms of an algebraic structure that is associated with the \(16\)-dimensional spinor representation of Spin(9). Some related questions are also discussed.
0 references
Cayley projective plane
0 references
Lie triple system
0 references
spinor representation
0 references
0.8227866
0 references
0.81925523
0 references
0.8172307
0 references
0.8143862
0 references
0.8133022
0 references
0.8113184
0 references
0.80762005
0 references
0.8075707
0 references
