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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Automorphisms of $P(V)_ G$
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by Thomas Sperlich PDF
Proc. Amer. Math. Soc. 120 (1994), 5-11 Request permission

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.
References
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Additional Information
  • © Copyright 1994 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 120 (1994), 5-11
  • MSC: Primary 20F55; Secondary 13A50
  • DOI: https://doi.org/10.1090/S0002-9939-1994-1200179-5
  • MathSciNet review: 1200179