14 citations · 32 across the 5 of their papers we have counts for
5 papers
Central Simple Algebras with Involution: A Geometric Approach
Nikolaus Vonessen
Let be an algebraically closed base field of characteristic zero. The category equivalence between central simple algebras and irreducible, generically free -varieties i…
Tame group actions on central simple algebras
Zinovy Reichstein, Nikolaus Vonessen
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.
Group actions and invariants in algebras of generic matrices
Zinovy Reichstein, Nikolaus Vonessen
We show that the fixed elements for the natural GL_m-action on the universal division algebra UD(m,n) of m generic n x n matrices form a division subalgebra of degree n, assuming n…
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…
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…