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Convergence and limits of linear representations of finite groups

  • Metaadatok
Tartalom: http://real.mtak.hu/44238/
Archívum: MTA Könyvtár
Gyűjtemény: Status = Published

Type = Article
Cím:
Convergence and limits of linear representations of finite groups
Létrehozó:
Elek, Gábor
Kiadó:
Elsevier
Dátum:
2016
Téma:
QA Mathematics / matematika
QA166-QA166.245 Graphs theory / gráfelmélet
Tartalmi leírás:
Motivated by the theory of graph limits, we introduce and study the convergence and limits of linear representations of finite groups over finite fields. The limit objects are infinite dimensional representations of free groups in continuous algebras. We show that under a certain integrality condition, the algebras above are skew fields. Our main result is the extension of Schramm's characterization of hyperfiniteness to linear representations. © 2015 Elsevier Inc.
Nyelv:
angol
angol
Típus:
Article
PeerReviewed
info:eu-repo/semantics/article
Formátum:
text
text
Azonosító:
Elek, Gábor (2016) Convergence and limits of linear representations of finite groups. Journal of Algebra, 450. pp. 588-615. ISSN 0021-8693
Kapcsolat:
MTMT:2991391; doi:10.1016/j.jalgebra.2015.11.023