Centers of generic algebras with involution.

DOI10.1016/j.jalgebra.2005.08.029zbMath1085.16017OpenAlexW1984158463MaRDI QIDQ2581386

Esther Beneish

Publication date: 10 January 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.08.029

zbMATH Keywords

symplectic groupsorthogonal groupsrationalityflasque classesgeneric algebrasfields of invariantsNoether settingsdivision rings of generic matricesstably rational field extensions

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Geometric invariant theory (14L24) Integral representations of finite groups (20C10) Trace rings and invariant theory (associative rings and algebras) (16R30) Finite-dimensional division rings (16K20) Transcendental field extensions (12F20)

Related Items

Open problems on central simple algebras.

Cites Work

• Unnamed Item
• Stable rationality of the field of invariants of linear representations of the group \(PSL_ 6\) and \(PSL_{12}\)
• Matrix invariants of composite size
• The invariant theory of \(n\times n\) matrices
• Invariant fields of symplectic and orthogonal groups.
• 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
• Lattice invariants and the center of the generic division ring