Invariants of Finite Reflection Groups
- 1 June 1963
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 22, 57-64
- https://doi.org/10.1017/s0027763000011028
Abstract
Let K be a field of characteristic zero. Let V be an n-dimensional vector space over K and let S be the graded ring of polynomial functions on V. If G is a group of linear transformations of V, then G acts naturally as a group of automorphisms of S if we defineThe elements of S invariant under all γ ∈ G constitute a homogeneous subring I(S) of S called the ring of polynomial invariants of G.Keywords
This publication has 3 references indexed in Scilit:
- Invariants of Finite Groups Generated by ReflectionsAmerican Journal of Mathematics, 1955
- Finite Unitary Reflection GroupsCanadian Journal of Mathematics, 1954
- The product of the generators of a finite group generated by reflectionsDuke Mathematical Journal, 1951