Centers of generic division algebras, the rationality problem 1965-1990

DOI10.1007/BF02782846zbMath0770.16004MaRDI QIDQ1196327

Lieven Le Bruyn

Publication date: 9 December 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

centerBrauer groupsrationality problemgeneric division algebras

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Brauer groups of schemes (14F22) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (14)

The center of the generic \(G\)-crossed product ⋮ Representation varieties of the fundamental groups of compact orientable surfaces ⋮ Word equations in simple groups and polynomial equations in simple algebras. ⋮ Noether Settings of Some Groups with an Unexpected Property ⋮ Geometric characterizations of the representation type of hereditary algebras and of canonical algebras. ⋮ Open problems on central simple algebras. ⋮ The Noether problem for spinor groups of small rank ⋮ Lattices over cyclic groups and Noether settings ⋮ Cayley groups ⋮ Rational central simple algebras ⋮ Induction theorems on the stable rationality of the center of the ring of generic matrices ⋮ The ring of generic matrices. ⋮ Birational classification of moduli spaces of representations of quivers ⋮ Birational classification of moduli spaces of vector bundles over \(\mathbb{P}^2\)

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