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math.RA2004
Group actions on central simple algebras: a geometric approach
Zinovy Reichstein, Nikolaus Vonessen
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…
math.RA2004
Polynomial identity rings as rings of functions
Zinovy Reichstein, Nikolaus Vonessen
We generalize the usual relationship between irreducible Zariski closed subsets of the affine space, their defining ideals, coordinate rings, and function fields, to a non-commutat…