Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:semisimple_Lie_groups
|
| gptkbp:describes |
factorization of Lie groups
|
| gptkbp:field |
gptkb:mathematics
Lie group theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Iwasawa decomposition
|
| gptkbp:involves |
abelian subgroup
maximal compact subgroup nilpotent subgroup |
| gptkbp:namedAfter |
gptkb:Kenkichi_Iwasawa
|
| gptkbp:relatedTo |
gptkb:Bruhat_decomposition
gptkb:Cartan_decomposition |
| gptkbp:sentence |
Every element g of a semisimple Lie group G can be written uniquely as a product kan, with k in K, a in A, n in N, where K is a maximal compact subgroup, A is abelian, N is nilpotent.
|
| gptkbp:usedIn |
representation theory
harmonic analysis on Lie groups |
| gptkbp:bfsParent |
gptkb:Lie_group
gptkb:Lie_groups |
| gptkbp:bfsLayer |
5
|