Stable rationality of the field of invariants of linear representations of the group \(PSL_ 6\) and \(PSL_{12}\)

DOI10.1007/BF01262607zbMath0729.14034MaRDI QIDQ805701

Pavel I. Katsylo

Publication date: 1990

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

rationality of the field of invariants

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Group actions on varieties or schemes (quotients) (14L30)

Related Items

The center of the generic \(G\)-crossed product, \(H^3\) and generic matrices, On the dual of the Procesi-Formanek lattice., On Automorphisms of Matrix Invariants, Open problems on central simple algebras., Centers of generic algebras with involution., The ring of generic matrices., Invariant fields of symplectic and orthogonal groups.

Cites Work

• Noether's problem over an algebraically closed field
• The center of the ring of \(4\times 4\) generic matrices
• Structure of representations generated by vectors of highest weight
• Canonical factorization of continuous operator functions relative to the circle