Actions of linearly reductive groups on pi-algebras

Nikolaus Vonessen

doi:10.1090/S0002-9947-1993-1076618-3

Actions of linearly reductive groups on pi-algebras

Nikolaus Vonessen

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Let G be a linearly reductive group acting rationally on a PIalgebra 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.

Original language	English
Pages (from-to)	425-442
Number of pages	18
Journal	Transactions of the American Mathematical Society
Volume	335
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1993-1076618-3
State	Published - Jan 1993

Keywords

Group actions
Inner automorphisms
Linearly reductive groups
Noetherian rings
Pi-algebras

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10.1090/S0002-9947-1993-1076618-3

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title = "Actions of linearly reductive groups on pi-algebras",

abstract = "Let G be a linearly reductive group acting rationally on a PIalgebra R. We study the relationship between R and the fixed ring RG , generalizing earlier results obtained under the additional hypothesis that R is affine.",

keywords = "Group actions, Inner automorphisms, Linearly reductive groups, Noetherian rings, Pi-algebras",

author = "Nikolaus Vonessen",

year = "1993",

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AB - Let G be a linearly reductive group acting rationally on a PIalgebra R. We study the relationship between R and the fixed ring RG , generalizing earlier results obtained under the additional hypothesis that R is affine.

KW - Group actions

KW - Inner automorphisms

KW - Linearly reductive groups

KW - Noetherian rings

KW - Pi-algebras

UR - https://www.scopus.com/pages/publications/84968490630

U2 - 10.1090/S0002-9947-1993-1076618-3

DO - 10.1090/S0002-9947-1993-1076618-3

M3 - Article

AN - SCOPUS:84968490630

SN - 0002-9947

VL - 335

SP - 425

EP - 442

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 1

ER -

Actions of linearly reductive groups on pi-algebras

Abstract

Keywords

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