
Frequent Representations
Arnold, Vladimir (2003), Frequent Representations, Moscow Mathematical Journal, 3, 4, p. 1209–1221
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Type
Article accepté pour publication ou publiéDate
2003Journal name
Moscow Mathematical JournalVolume
3Number
4Publisher
Steklov Mathematical Institute RAS
Pages
1209–1221
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Arnold, VladimirAbstract (EN)
Given a unitary representation T of a finite group G in Cn, write M for the variety of such representations which are unitary equivalent to T. The representation T is said to be frequent if the dimension of the variety M is maximal (among all representations of G in the same complex space). We prove that the irreducible representations are distributed, in the frequent representation (of large dimension), asymptotically in the same way as in the fundamental representation in the space of functions on G: the frequencies of the irreducible components are proportional to their dimensions.Subjects / Keywords
Representations of finite groups; unitary representations; frequent representationsRelated items
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