Division algebras and the Hausdorff-Banach-Tarski paradox
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Publication:1055048
zbMath0521.57035MaRDI QIDQ1055048
Dennis Sullivan, Pierre Deligne
Publication date: 1983
Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)
free groupdivision algebrasaxiom of choiceBrauer groupalgebraic number fieldfree action on spheresHausdorff- Banach-Tarski paradoxHopf's index theorem
Groups acting on specific manifolds (57S25) Quadratic extensions (11R11) Free nonabelian groups (20E05) Axiom of choice and related propositions (03E25) Division rings and semisimple Artin rings (16Kxx)
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Word equations in simple groups and polynomial equations in simple algebras. ⋮ Strongly dense free subgroups of semisimple algebraic groups. ⋮ Equations in simple matrix groups: algebra, geometry, arithmetic, dynamics. ⋮ Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture ⋮ Equations in simple Lie algebras ⋮ Involutions and Brauer-Severi varieties ⋮ Free isometric actions on the affine space \(\mathbb{Q}^n\).
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