| dbo:abstract
|
- In der Mathematik ist der Verma-Modul ein unendlich-dimensionaler Modul über der universellen einhüllenden Algebra einer Lie-Algebra, aus dem sich die endlich-dimensionalen Darstellungen eines gegebenen höchsten Gewichts gewinnen lassen. (de)
- Verma modules, named after Daya-Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics. Verma modules can be used in the classification of irreducible representations of a complex semisimple Lie algebra. Specifically, although Verma modules themselves are infinite dimensional, quotients of them can be used to construct finite-dimensional representations with highest weight , where is dominant and integral. Their homomorphisms correspond to invariant differential operators over flag manifolds. (en)
- 리 대수의 표현론에서 베르마 가군(वर्मा加群, 영어: Verma module)은 주어진 무게에 대한 가장 “일반적인” 최고 무게 가군이다. (ko)
- Verma模（Verma module）是李代數表示理論中的基本研究對象，其名取自。Verma模之間的態射相應於上的。 可用Verma模來證明以下命題：為的的維數有限，若且僅若是（dominant integral weight）。 (zh)
|
| dbo:thumbnail
| |
| dbo:wikiPageExternalLink
| |
| dbo:wikiPageID
| |
| dbo:wikiPageLength
|
- 24732 (xsd:nonNegativeInteger)
|
| dbo:wikiPageRevisionID
| |
| dbo:wikiPageWikiLink
| |
| dbp:authorlink
| |
| dbp:first
| |
| dbp:id
|
- 3665 (xsd:integer)
- B/b120210 (en)
|
| dbp:last
| |
| dbp:title
|
- BGG resolution (en)
- Verma module (en)
|
| dbp:wikiPageUsesTemplate
| |
| dbp:year
| |
| dcterms:subject
| |
| rdfs:comment
|
- In der Mathematik ist der Verma-Modul ein unendlich-dimensionaler Modul über der universellen einhüllenden Algebra einer Lie-Algebra, aus dem sich die endlich-dimensionalen Darstellungen eines gegebenen höchsten Gewichts gewinnen lassen. (de)
- Verma modules, named after Daya-Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics. Verma modules can be used in the classification of irreducible representations of a complex semisimple Lie algebra. Specifically, although Verma modules themselves are infinite dimensional, quotients of them can be used to construct finite-dimensional representations with highest weight , where is dominant and integral. Their homomorphisms correspond to invariant differential operators over flag manifolds. (en)
- 리 대수의 표현론에서 베르마 가군(वर्मा加群, 영어: Verma module)은 주어진 무게에 대한 가장 “일반적인” 최고 무게 가군이다. (ko)
- Verma模（Verma module）是李代數表示理論中的基本研究對象，其名取自。Verma模之間的態射相應於上的。 可用Verma模來證明以下命題：為的的維數有限，若且僅若是（dominant integral weight）。 (zh)
|
| rdfs:label
|
- Verma-Modul (de)
- 베르마 가군 (ko)
- Verma module (en)
- Verma模 (zh)
|
| owl:sameAs
| |
| prov:wasDerivedFrom
| |
| foaf:depiction
| |
| foaf:isPrimaryTopicOf
| |
| is dbo:knownFor
of | |
| is dbo:wikiPageDisambiguates
of | |
| is dbo:wikiPageRedirects
of | |
| is dbo:wikiPageWikiLink
of | |
| is dbp:knownFor
of | |
| is foaf:primaryTopic
of | |
