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4 papers · 1 filter
Duals of simple two-sided vector spaces
J. Hart, A. Nyman
Let be a perfect field and let be a subfield. In previous work of the second author and C. Pappacena, left finite dimensional simple two-sided -central vector…
Distinguishing division algebras by finite splitting fields
Daniel Krashen, Kelly McKinnie
This paper is concerned with the problem of determining the number of division algebras which share the same collection of finite splitting fields. As a corollary we are able to de…
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.