On the ring of \(13\times 13\) generic matrices.

DOI10.1016/j.jalgebra.2004.08.004zbMath1077.16028OpenAlexW2003340807MaRDI QIDQ1770524

Esther Beneish

Publication date: 7 April 2005

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.08.004

zbMATH Keywords

stable rationalityflasque classesfield extensionsgeneric matricesgeneric division algebrasstably isomorphic extensions

Mathematics Subject Classification ID

Trace rings and invariant theory (associative rings and algebras) (16R30) Finite-dimensional division rings (16K20) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (1)

On the dual of the Procesi-Formanek lattice.

Cites Work

• Retract rational fields and cyclic Galois extensions
• The center of the ring of \(4\times 4\) generic matrices
• Stable rationality of certain \(PGL_ n\)-quotients
• Rational functions invariant under a finite Abelian group
• Monomial actions of the symmetric group.
• Quasi-permutation modules over finite groups. II
• Invariant rational functions and a problem of Steenrod
• The center of the ring of 3×3 generic matrices
• On a classification of the function fields of algebraic tori
• La $R$-équivalence sur les tores
• Induction theorems on the stable rationality of the center of the ring of generic matrices
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