Bruhat decomposition
decomposition of a reductive algebraic group over an algebraically closed field as a disjoint union of double cosets of a Borel subgroup parameterized by the elements of the Weyl group
| rdfs:label |
"Bruhat decomposition"@en
|
| schema:description |
"decomposition of a reductive algebraic group over an algebraically closed field as a disjoint union of double cosets of a Borel subgroup parameterized by the elements of the Weyl group"@en
|
|
schema:date |
"2026-09-06T20:27:17+00:00"^^xsd:dateTime |
| schema:version | 2541299514 |
| wikibase:identifiers | 5 |
| wikibase:sitelinks | 5 |
| wikibase:statements | 17 |
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| wd:statement/Q4978699-b016d5bb-4f36-0fdf-0150-1b9f6e00c4a7 | |
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| p:P575 | wd:statement/Q4978699-f8d2e390-45e7-c9ae-38aa-09b74ed06319 |
| p:P61 | wd:statement/Q4978699-0561202a-4cbb-4cea-ef8e-1dd0bf508f49 |
| p:P6104 | wd:statement/Q4978699-44C447AF-E040-47D1-A481-187BB75059BA |
| p:P6366 | wd:statement/Q4978699-A6F457FE-CA01-4021-8C36-2E90A79E04EC |
| p:P646 | wd:statement/Q4978699-E0CC9182-652C-490E-844D-3CB445A58E23 |
| p:P7235 | wd:statement/Q4978699-629e4ddd-4521-2e22-dc66-e1635bacd652 |
| wd:statement/Q4978699-884dee94-4b3d-1d71-d07b-1c22b4d0a194 | |
| wd:statement/Q4978699-cbd00b04-4f07-7204-42f3-99ab9cbdfc2b | |
| p:P7554 | wd:statement/Q4978699-f0322a88-4792-477c-9085-66af9a0bdd96 |
| p:P7726 | wd:statement/Q4978699-2a9f59c1-410a-2960-b897-c144b21bd30e |
|
p:direct- |
<https:/ |
| wdt:P138 | François Bruhat |
| wdt:P2534 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>G</mi><mo stretchy="false">=</mo><mi>B</mi><mi>W</mi><mi>B</mi><mo stretchy="false">=</mo><munder><mo stretchy="false">⨆</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>w</mi><mo stretchy="false">∈</mo><mi>W</mi></mrow></mrow></munder><mi>B</mi><mi>w</mi><mi>B</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| wdt:P2579 | Lie theory |
| group theory | |
| wdt:P279 | Lie group decomposition |
| wdt:P31 | mathematical concept |
| wdt:P4215 | "Bruhat decomposition" |
| wdt:P575 | "2000-01-01T00:00:00+00:00"^^xsd:dateTime |
| wdt:P61 | François Bruhat |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "2779215648" |
| wdt:P646 | "/m/02p3tmb" |
| wdt:P7235 | "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>B</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>G</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>W</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML | |
| wdt:P7554 | "Bruhat_decomposition" |
| wdt:P7726 | "BruhatDecomposition" |
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