About: Clifford module bundle

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In differential geometry, a Clifford module bundle, a bundle of Clifford modules or just Clifford module is a vector bundle whose fibers are Clifford modules, the representations of Clifford algebras. The canonical example is a spinor bundle. In fact, on a Spin manifold, every Clifford module is obtained by twisting the spinor bundle. The notion "Clifford module bundle" should not be confused with a Clifford bundle, which is a bundle of Clifford algebras.

Attributes	Values
rdf:type	anatomical structure yago:WikicatCliffordAlgebras yago:WikicatVectorBundles yago:Abstraction100002137 yago:Algebra106012726 yago:Cognition100023271 yago:Collection107951464 yago:Content105809192 yago:Discipline105996646 yago:Group100031264 yago:KnowledgeDomain105999266 yago:Mathematics106000644 yago:Package108008017 yago:PsychologicalFeature100023100 yago:PureMathematics106003682 yago:Science105999797
rdfs:label	Clifford module bundle (en) 클리퍼드 가군 다발 (ko)
rdfs:comment	In differential geometry, a Clifford module bundle, a bundle of Clifford modules or just Clifford module is a vector bundle whose fibers are Clifford modules, the representations of Clifford algebras. The canonical example is a spinor bundle. In fact, on a Spin manifold, every Clifford module is obtained by twisting the spinor bundle. The notion "Clifford module bundle" should not be confused with a Clifford bundle, which is a bundle of Clifford algebras. (en) 미분기하학에서 클리퍼드 가군 다발(Clifford加群다발, 영어: Clifford module bundle)은 각 올이 (클리퍼드 다발의 올인) 클리퍼드 대수의 가군의 구조를 갖는 벡터 다발이다. (ko)
dct:subject	Clifford algebras Structures on manifolds Vector bundles Riemannian geometry
Wikipage page ID	42500406 (xsd:integer)
Wikipage revision ID	1072271750 (xsd:integer)
Link from a Wikipage to another Wikipage	Princeton University Press Clifford algebras Structures on manifolds Clifford algebra Clifford bundle Clifford module Vector bundles Riemannian geometry Differential geometry Spin representation Spinor Vector bundle Spin geometry Spinor bundle Orthonormal frame bundle Spin structure Springer-Verlag Irreducible module Spin manifold
sameAs	Clifford module bundle Clifford module bundle Clifford module bundle Clifford module bundle Clifford module bundle
dbp:wikiPageUsesTemplate	dbt:Cite_book dbt:Main dbt:Reflist dbt:Differential-geometry-stub
has abstract	In differential geometry, a Clifford module bundle, a bundle of Clifford modules or just Clifford module is a vector bundle whose fibers are Clifford modules, the representations of Clifford algebras. The canonical example is a spinor bundle. In fact, on a Spin manifold, every Clifford module is obtained by twisting the spinor bundle. The notion "Clifford module bundle" should not be confused with a Clifford bundle, which is a bundle of Clifford algebras. (en) 미분기하학에서 클리퍼드 가군 다발(Clifford加群다발, 영어: Clifford module bundle)은 각 올이 (클리퍼드 다발의 올인) 클리퍼드 대수의 가군의 구조를 갖는 벡터 다발이다. (ko)
gold:hypernym	Bundle
prov:wasDerivedFrom	wikipedia-en:Clifford_module_bundle?oldid=1072271750&ns=0
page length (characters) of wiki page	2931 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Clifford_module_bundle
is Link from a Wikipage to another Wikipage of	Equivariant index theorem Clifford bundle Clifford module Spinor bundle
is foaf:primaryTopic of	wikipedia-en:Clifford_module_bundle

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