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- W3008912810 abstract "In this fourth part, (with the notations of the preceding parts) we make the following hypothesis: $(W,S)$ is a Coxeter system, irreducible, $2$-spherical and $S$ is finite. Let $R:Wto GL(M)$ be a reducible reflection representation of $W$. Let $G:= Im,R$. Each sub-space of $M$ $(neq M)$ stabilize by $G$ is contained in $C_{M}(G)$. Let $M':=M/C_{M}(G)$ and $N(G):={g|gin G,g, text{acts trivially on},M'$. We call $N(G)$ the translation sub-group of $G$. One of the goals of this part is to study $M'$ and $N(G)$." @default.
- W3008912810 created "2020-03-06" @default.
- W3008912810 creator A5034226938 @default.
- W3008912810 date "2020-02-23" @default.
- W3008912810 modified "2023-09-27" @default.
- W3008912810 title "Repr'esentations de r'eflexion de groupes de Coxeter -- Quatri`eme partie: La repr'esentation $R$ est r'eductible. G'en'eralit'es" @default.
- W3008912810 cites W1607402086 @default.
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- W3008912810 hasPublicationYear "2020" @default.
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