Tame group actions on central simple algebras

Z. Reichstein; N. Vonessen

doi:10.1016/j.jalgebra.2007.07.027

Tame group actions on central simple algebras

Z. Reichstein
, N. Vonessen

Mathematical Sciences

University of British Columbia

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

3 Scopus citations

Abstract

We study actions of linear algebraic groups on finite-dimensional central simple algebras. We describe the fixed algebra for a broad class of such actions.

Original language	English
Pages (from-to)	1039-1056
Number of pages	18
Journal	Journal of Algebra
Volume	318
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2007.07.027
State	Published - Dec 15 2007

Funding

* Corresponding author. E-mail addresses: [email protected] (Z. Reichstein), [email protected] (N. Vonessen). URLs: http://www.math.ubc.ca/~reichst (Z. Reichstein), http://www.math.umt.edu/vonessen (N. Vonessen). 1 Z. Reichstein was supported in part by an NSERC research grant.

Keywords

Algebraic group
Central simple algebra
Galois cohomology
Geometric action
Group action
Semisimple algebra
Tame action

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10.1016/j.jalgebra.2007.07.027

Cite this

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title = "Tame group actions on central simple algebras",

abstract = "We study actions of linear algebraic groups on finite-dimensional central simple algebras. We describe the fixed algebra for a broad class of such actions.",

keywords = "Algebraic group, Central simple algebra, Galois cohomology, Geometric action, Group action, Semisimple algebra, Tame action",

author = "Z. Reichstein and N. Vonessen",

note = "Funding Information: * Corresponding author. E-mail addresses: [email protected] (Z. Reichstein), [email protected] (N. Vonessen). URLs: http://www.math.ubc.ca/\textasciitilde{}reichst (Z. Reichstein), http://www.math.umt.edu/vonessen (N. Vonessen). 1 Z. Reichstein was supported in part by an NSERC research grant.",

year = "2007",

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doi = "10.1016/j.jalgebra.2007.07.027",

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journal = "Journal of Algebra",

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AU - Reichstein, Z.

AU - Vonessen, N.

N1 - Funding Information: * Corresponding author. E-mail addresses: [email protected] (Z. Reichstein), [email protected] (N. Vonessen). URLs: http://www.math.ubc.ca/~reichst (Z. Reichstein), http://www.math.umt.edu/vonessen (N. Vonessen). 1 Z. Reichstein was supported in part by an NSERC research grant.

PY - 2007/12/15

Y1 - 2007/12/15

N2 - We study actions of linear algebraic groups on finite-dimensional central simple algebras. We describe the fixed algebra for a broad class of such actions.

AB - We study actions of linear algebraic groups on finite-dimensional central simple algebras. We describe the fixed algebra for a broad class of such actions.

KW - Algebraic group

KW - Central simple algebra

KW - Galois cohomology

KW - Geometric action

KW - Group action

KW - Semisimple algebra

KW - Tame action

UR - https://www.scopus.com/pages/publications/36049033717

U2 - 10.1016/j.jalgebra.2007.07.027

DO - 10.1016/j.jalgebra.2007.07.027

M3 - Article

AN - SCOPUS:36049033717

SN - 0021-8693

VL - 318

SP - 1039

EP - 1056

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

Tame group actions on central simple algebras

Abstract

Funding

Keywords

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