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Representation ring

In mathematics, especially in the area of algebra known as representation theory, the representation ring (or Green ring after J. A. Green) of a group is a ring formed from all the (isomorphism classes of the) finite-dimensional linear representations of the group. Elements of the representation ring are sometimes called virtual representations. For a…

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Formal definition

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Λ-ring and Adams operations

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Representation ring

Nodes52
Edges51
Triples71
Avg. degree1.96
Density0.038462
Components1

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Representation ring

Top relations

related to References · 47
Representation ring → Advanced Mathematics, Algebra, American Mathematical Society, Atiyah, Berlin, BF02684592, Bröcker, Cambridge Studies, Cambridge University Press, Compact Lie Groups, Date, Dieck, Explicit Brauer Induction, Friedrich, Graduate Texts, Graeme, Heidelberg, Hirzebruch, IHÉS, III
related to Examples · 13
Representation ring → C3, Cn, For, More, RC, RF, RQ, S1, S3, The, X2, Xn, XY
related to Formal definition · 7
Representation ring → F-representations, For, Given, Grothendieck, RF, The, When
related to λ-ring and Adams operations · 4
Representation ring → Given, The Adams, This, With

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Important terminology

ring group representation representations isomorphic complex isomorphism given mathematics field cyclic finite compact zbl classes finite-dimensional algebra characteristic functions lie

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Representation ringrelated to ExamplesFor0.60section
Representation ringrelated to ExamplesRC0.60section
Representation ringrelated to ExamplesCn0.60section
Representation ringrelated to ExamplesXn0.60section
Representation ringrelated to ExamplesMore0.60section
Representation ringrelated to ExamplesRQ0.60section
Representation ringrelated to ExamplesC30.60section
Representation ringrelated to ExamplesX20.60section
Representation ringrelated to ExamplesRF0.60section
Representation ringrelated to ExamplesXY0.60section
Representation ringrelated to ExamplesThe0.60section
Representation ringrelated to ExamplesS10.60section

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