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Généralisation d’une formule de Solomon relative à l’anneau de groupe d’un groupe de Coxeter. (A generalization of a formula due to Solomon concerning the group ring of a Coxeter group). (French) Zbl 0713.20006

Summary: A class of modules in the group ring of a Coxeter group is exhibited, whose ring of operators is Solomon’s ring. We prove that the corresponding structure coefficients are non negative integers and give an explicit formula for them.

MSC:

20C07 Group rings of infinite groups and their modules (group-theoretic aspects)
20F55 Reflection and Coxeter groups (group-theoretic aspects)
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