Zinovy Reichstein and Nikolaus Vonessen: Tame group actions on central simple algebras

reichste@math.ubc.ca, nikolaus.vonessen@umontana.edu

Submission: 2007, Mar 14

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.

2000 Mathematics Subject Classification: 16K20, 14L30, 20G10

Keywords and Phrases: Central simple algebra, algebraic group, group action, geometric action, tame action, semisimple algebra, Galois cohomology

Full text: dvi.gz 43 k, dvi 125 k, ps.gz 752 k, pdf.gz 197 k, pdf 246 k.


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