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Invariants of Finite Reflection Groups

Published online by Cambridge University Press:  22 January 2016

Louis Solomon
Louis Solomon*
Affiliation:
Haverford College, Haverford, Pennsylvania
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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 define

The elements of S invariant under all γ ∈ G constitute a homogeneous subring I(S) of S called the ring of polynomial invariants of G.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 22 , June 1963 , pp. 57 - 64
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1963

References

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