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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Relatively free invariant algebras of finite reflection groups
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by Mátyás Domokos PDF
Trans. Amer. Math. Soc. 348 (1996), 2217-2234 Request permission

Abstract:

Let $G$ be a finite subgroup of $Gl_{n}(K)$ $(K$ is a field of characteristic $0$ and $n\geq 2)$ acting by linear substitution on a relatively free algebra $K\langle x_{1},\dots ,x_{n}\rangle /I$ of a variety of unitary associative algebras. The algebra of invariants is relatively free if and only if $G$ is a pseudo-reflection group and $I$ contains the polynomial $[[x_{2},x_{1}],x_{1}].$
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Additional Information
  • Mátyás Domokos
  • Affiliation: Mathematical Institute of the Hungarian Academy of Sciences, P.O.B. 127, H-1364, Budapest, Hungary
  • MR Author ID: 345568
  • Email: domokos@math-inst.hu
  • Received by editor(s): September 7, 1994
  • Additional Notes: This research was partially supported by Széchenyi István Scholarship Foundation and by Hungarian National Foundation for Scientific Research grant no. T4265.
  • © Copyright 1996 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 348 (1996), 2217-2234
  • MSC (1991): Primary 16W20; Secondary 16R10
  • DOI: https://doi.org/10.1090/S0002-9947-96-01687-X
  • MathSciNet review: 1363010