ملخص
We introduce the notion of weighted Coxeter graph and associate to it a certain generalization of the standard geometric representation of a Coxeter group. We prove sufficient conditions for faithfulness and non-faithfulness of such a representation. In the case when the weighted Coxeter graph is balanced we discuss how the generalized geometric representation is related to the numbers game played on the Coxeter graph.
اللغة الأصلية | الإنجليزيّة |
---|---|
الصفحات (من إلى) | 17-27 |
عدد الصفحات | 11 |
دورية | Discrete Applied Mathematics |
مستوى الصوت | 192 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | نُشِر - 10 سبتمبر 2015 |