Group Actions on Central Simple Algebras: a Geometric Approach

  • N. VONESSEN
  • Published 2005

Abstract

We study actions of linear algebraic groups on central simple algebras using algebro-geometric techniques. Suppose an algebraic group G acts on a central simple algebra A of degree n. We are interested in questions of the following type: (a) Do the G-fixed elements form a central simple subalgebra of A of degree n? (b) Does A have a G-invariant maximal… (More)

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