Let Î be a non-commutative free group on finitely many generators. In a previous work two of the authors have constructed the class of multiplicative representations of Î and proved them irreducible as representation of Î â λC(Ω). In this paper we analyze multiplicative representations as representations of Î and we prove a criterium for irreducibility based on the growth of their matrix coefficients.
Free group representations from vector-valued multiplicative functions, II / Kuhn, M. Gabriella; Saliani, Sandra; Steger, Tim Joshua. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - 284:3-4(2016), pp. 1137-1162. [10.1007/s00209-016-1692-z]
Free group representations from vector-valued multiplicative functions, II
STEGER, Tim Joshua
2016-01-01
Abstract
Let Î be a non-commutative free group on finitely many generators. In a previous work two of the authors have constructed the class of multiplicative representations of Î and proved them irreducible as representation of Î â λC(Ω). In this paper we analyze multiplicative representations as representations of Î and we prove a criterium for irreducibility based on the growth of their matrix coefficients.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
