About: Frobenius reciprocity

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In mathematics, and in particular representation theory, Frobenius reciprocity is a theorem expressing a duality between the process of restricting and inducting. It can be used to leverage knowledge about representations of a subgroup to find and classify representations of "large" groups that contain them. It is named for Ferdinand Georg Frobenius, the inventor of the representation theory of finite groups.

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rdf:type	Thing
rdfs:label	Frobenius-Reziprozität (de) Frobenius reciprocity (en)
rdfs:comment	Frobenius-Reziprozität ist ein Begriff aus dem mathematischen Gebiet der Darstellungstheorie. Er setzt induzierte Darstellungen und die Einschränkung von Darstellungen miteinander in Beziehung. Die Frobenius-Reziprozität sagt uns einerseits, dass die Abbildungen und adjungiert zueinander sind. Betrachten wir andererseits mit eine irreduzible Darstellung von und sei eine irreduzible Darstellung von dann erhalten wir mit der Frobenius-Reziprozität außerdem, dass so oft in enthalten ist wie in Sie ist nach Ferdinand Georg Frobenius benannt. (de) In mathematics, and in particular representation theory, Frobenius reciprocity is a theorem expressing a duality between the process of restricting and inducting. It can be used to leverage knowledge about representations of a subgroup to find and classify representations of "large" groups that contain them. It is named for Ferdinand Georg Frobenius, the inventor of the representation theory of finite groups. (en)
rdfs:seeAlso	Change of rings dbr:The_restriction_of_scalars
foaf:homepage	http://mathworld.wolfram.com
dcterms:subject	Adjoint functors Representation theory of finite groups Theorems in representation theory
Wikipage page ID	55690071 (xsd:integer)
Wikipage revision ID	1032971802 (xsd:integer)
Link from a Wikipage to another Wikipage	Module (mathematics) Representation theory Bilinear form Vector space Mathematics Class function (algebra) Morphism Arthur-Selberg trace formula Subgroup Adjoint functors Adjoint functors Linear combination Representation theory of finite groups Duality (mathematics) Ferdinand Georg Frobenius Field (mathematics) Forgetful functor Group (mathematics) Hermitian adjoint Character theory Representation theory of finite groups Theorems in representation theory Group ring Identity function Induced representation Inner product space Category (mathematics) Change of rings Selberg trace formula Schur orthogonality relations Universal property Restricted representation Induced module
Link from a Wikipage to an external page	http://mathworld.wolfram.com/InducedRepresentation.html%7Ctitle=Induced https://archive.org/details/linearrepresenta1977serr%7Ctitle=Linear
sameAs	Frobenius reciprocity Frobenius reciprocity Frobenius reciprocity
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has abstract	Frobenius-Reziprozität ist ein Begriff aus dem mathematischen Gebiet der Darstellungstheorie. Er setzt induzierte Darstellungen und die Einschränkung von Darstellungen miteinander in Beziehung. Die Frobenius-Reziprozität sagt uns einerseits, dass die Abbildungen und adjungiert zueinander sind. Betrachten wir andererseits mit eine irreduzible Darstellung von und sei eine irreduzible Darstellung von dann erhalten wir mit der Frobenius-Reziprozität außerdem, dass so oft in enthalten ist wie in Sie ist nach Ferdinand Georg Frobenius benannt. (de) In mathematics, and in particular representation theory, Frobenius reciprocity is a theorem expressing a duality between the process of restricting and inducting. It can be used to leverage knowledge about representations of a subgroup to find and classify representations of "large" groups that contain them. It is named for Ferdinand Georg Frobenius, the inventor of the representation theory of finite groups. (en)
prov:wasDerivedFrom	wikipedia-en:Frobenius_reciprocity?oldid=1032971802&ns=0
page length (characters) of wiki page	9237 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Frobenius_reciprocity
is Link from a Wikipage to another Wikipage of	List of abstract algebra topics Representation theory of the Lorentz group List of representation theory topics Gelfand pair Glossary of module theory Glossary of representation theory Reciprocity Littlewood–Richardson rule Frobenius characteristic map Frobenius reciprocity theorem Zonal spherical function Tensor product of modules Character theory Arthur–Selberg trace formula Induced representation Category of representations List of things named after Ferdinand Georg Frobenius Restricted representation Shapiro's lemma
is Wikipage redirect of	Frobenius reciprocity theorem
is foaf:primaryTopic of	wikipedia-en:Frobenius_reciprocity

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