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Representation ring

the Grothendieck ring of the monoidal category of (e.g. finite-dimensional complex) representations of a (e.g. compact Lie) group

Pronunciation
/ˌrɛprɪzɛnˈteɪʃən rɪŋ/
/ˌrɛprəˌzɛnˈteɪʃən rɪŋ/
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