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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 34, Fasc. 1,
pages 161 - 180
 

GELFAND–RAIKOV REPRESENTATIONS OF COXETER GROUPS ASSOCIATED WITH POSITIVE DEFINITE NORM FUNCTIONS

Marek Bożejko
Takeshi Hirai

Abstract: The main purpose of the paper is to study the type of Gelfand–Raikov representations of Coxeter groups (W, S) for the special positive definite functions coming from the deformed Poisson (Haagerup) positive definite functions qL(w) for some special length (norm) functions L on Coxeter groups W .

2000 AMS Mathematics Subject Classification: Primary: 20F55; Secondary: 20C10, 43A35, 46L54.

Keywords and phrases: Free probability, Coxeter groups, Gelfand–Raikov representation, positive definite functions.

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