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Transactions of the American Mathematical Society

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

 
 

 

Actions of linearly reductive groups on PI-algebras


Author: Nikolaus Vonessen
Journal: Trans. Amer. Math. Soc. 335 (1993), 425-442
MSC: Primary 16W20; Secondary 16P40, 16R99
DOI: https://doi.org/10.1090/S0002-9947-1993-1076618-3
MathSciNet review: 1076618
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Abstract: Let $G$ be a linearly reductive group acting rationally on a ${\text {PI}}$-algebra $R$. We study the relationship between $R$ and the fixed ring ${R^G}$ , generalizing earlier results obtained under the additional hypothesis that $R$ is affine.


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Keywords: <!– MATH ${\text {PI}}$ –> <IMG WIDTH="27" HEIGHT="18" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="${\text {PI}}$">-algebras, group actions, linearly reductive groups, Noetherian rings, inner automorphisms
Article copyright: © Copyright 1993 American Mathematical Society