Lattice invariants and the center of the generic division ring

DOI10.1090/S0002-9947-03-03331-2zbMath1037.20003arXiv0704.3450OpenAlexW2134385824MaRDI QIDQ4441766

Esther Beneish

Publication date: 7 January 2004

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.3450

zbMATH Keywords

group algebrassymmetric groupsfinite groupsBrauer groupsgroup extensionsquasi-permutation latticesinvariant fieldsNoether settingsdivision rings of generic matricesstably rational field extensions\(\mathbb{Z}[G\)-lattices]flasque lattices

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Integral representations of finite groups (20C10) Actions of groups on commutative rings; invariant theory (13A50) Trace rings and invariant theory (associative rings and algebras) (16R30) Finite-dimensional division rings (16K20) Transcendental field extensions (12F20)

Related Items

On the dual of the Procesi-Formanek lattice., Centers of generic algebras with involution.

Cites Work

• Unnamed Item
• Unnamed Item
• Retract rational fields and cyclic Galois extensions
• Multiplicative field invariants
• 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
• The Schur index and Moody's theorem
• Cohomology of groups and twisted multiplicative fields of invariants
• Monomial actions of the symmetric group.
• 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