Automorphisms of 𝑃(𝑉)_{𝐺}

Sperlich, Thomas

doi:10.1090/S0002-9939-1994-1200179-5

Automorphisms of $P(V)_ G$
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by Thomas Sperlich

Proc. Amer. Math. Soc. 120 (1994), 5-11

DOI: https://doi.org/10.1090/S0002-9939-1994-1200179-5

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Abstract:

This paper gives a proof of the theorem that for Coxeter groups the algebra of coinvariants is isomorphic to the normalizer of the Coxeter group in the linear group of a vector space over $\mathbb {R}$. I have tried to give a relatively elementary proof which requires only elementary algebra and a little knowledge of the theory of invariants.

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