Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:semisimple_Lie_groups
reductive algebraic groups |
| gptkbp:describes |
double coset decomposition
|
| gptkbp:field |
gptkb:Lie_theory
algebraic group theory |
| gptkbp:firstDescribed |
1950s
|
| gptkbp:hasApplication |
structure theory of algebraic groups
study of flag varieties |
| https://www.w3.org/2000/01/rdf-schema#label |
Bruhat decomposition
|
| gptkbp:involves |
gptkb:Weyl_group
Borel subgroup |
| gptkbp:namedAfter |
gptkb:François_Bruhat
|
| gptkbp:relatedTo |
gptkb:Schubert_cell_decomposition
|
| gptkbp:state |
G = BWB where G is a group, B is a Borel subgroup, and W is the Weyl group
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
representation theory |
| gptkbp:bfsParent |
gptkb:Lie_groups
|
| gptkbp:bfsLayer |
5
|