Brauer-Clifford equivalence of full matrix algebras.

DOI10.1016/j.jalgebra.2009.02.018zbMath1186.20012OpenAlexW2061808938MaRDI QIDQ837020

Alexandre Turull

Publication date: 10 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.02.018

zbMATH Keywords

cohomology groupsfinite groupsClifford theoryBrauer groupsrepresentationscentral simple algebrasSchur indices

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Ordinary representations and characters (20C15) Cohomology of groups (20J06) Brauer groups (algebraic aspects) (16K50)

Related Items (7)

On Clifford theory with Galois action ⋮ The Brauer-Clifford group for \((S,H)\)-Azumaya algebras over a commutative ring. ⋮ Clifford theory and endoisomorphisms. ⋮ The Brauer-Clifford group and rational forms of finite groups. ⋮ The Brauer-Clifford group of \(G\)-rings. ⋮ The Schur-Clifford subgroup of the Brauer-Clifford group ⋮ Equivalence and the Brauer–Clifford Group forG-Algebras over Commutative Rings

Cites Work

• Unnamed Item
• The Brauer-Clifford group.
• Strengthening the McKay conjecture to include local fields and local Schur indices.
• Some invariants for equivalent \(G\)-algebras
• Cohomology of modules in the principal block of a finite group
• Character correspondences in solvable groups.
• Equivalence of g-algebras with complemented centroid
• CLIFFORD CLASSES OF PRIMITIVE CENTRAL SIMPLE G-ALGEBRAS
• Reduction theorems for Clifford classes

This page was built for publication: Brauer-Clifford equivalence of full matrix algebras.