A lower bound on the essential dimension of simple algebras.

DOI10.2140/ant.2010.4.1055zbMath1231.16017OpenAlexW2030557415MaRDI QIDQ716051

Alexander S. Merkurjev

Publication date: 19 April 2011

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/ant.2010.4.1055

zbMATH Keywords

Brauer groupscentral simple algebrascyclic algebrastorsorsalgebraic toriprincipal homogeneous spacesessential dimensionessential \(p\)-dimension

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30) Finite-dimensional division rings (16K20) Brauer groups (algebraic aspects) (16K50)

Related Items (6)

Essential dimension of algebraic groups, including bad characteristic ⋮ Essential dimension: a survey ⋮ Essential dimension of involutions and subalgebras ⋮ Essential dimension ⋮ Open problems on central simple algebras. ⋮ Essential dimension of central simple algebras.

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