Geodesic
On Counting Types of Symmetries in Finite Unitary Reflection Groups
Canadian journal of mathematics, Tome 31 (1979) no. 2, pp. 252-254

Voir la notice de l'article provenant de la source Cambridge University Press

Let K be a field of characteristic zero. Let V be an n-dimensional vector space over K. A linear automorphism of V is said to be of type i if it leaves fixed a subspace of dimension i. A reflection is a linear automorphism of type n − 1 which has finite order. A finite reflection group is a finite group of linear automorphisms which is generated by reflections. These groups are especially interesting because the full group of symmetries of a regular poly tope is always a finite reflection group. There is also a strong connection between these groups and Lie groups. 
On Counting Types of Symmetries in Finite Unitary Reflection Groups. Canadian journal of mathematics, Tome 31 (1979) no. 2, pp. 252-254. doi: 10.4153/CJM-1979-026-5
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