Some invariants for equivalent \(G\)-algebras

DOI10.1016/0022-4049(94)00032-EzbMath0833.20012MaRDI QIDQ1346710

Alexandre Turull

Publication date: 10 April 1995

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Schur algebrascharactersBrauer groupsClifford algebrasgeneralized Brauer-Wall groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite-dimensional division rings (16K20) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (9)

The Brauer-Clifford group. ⋮ Brauer-Clifford equivalence of full matrix algebras. ⋮ Characters and Equivalence Classes of Central Simple Group Graded Algebras ⋮ Clifford theory for cyclic quotient groups ⋮ CLIFFORD CLASSES OF PRIMITIVE CENTRAL SIMPLE G-ALGEBRAS ⋮ Reduction theorems for Clifford classes ⋮ Equivalence and the Brauer–Clifford Group forG-Algebras over Commutative Rings ⋮ Invariants for equivalence of central simple \(G\)-algebras. ⋮ Calculating Clifford classes for characters containing a linear character once.

Cites Work

• Unnamed Item
• Unnamed Item
• The Schur index of projective characters of symmetric and alternating groups
• A direct sum decomposition for the Brauer group of H-module algebras
• Clifford theory with Schur indices
• The Brauer group of dimodule algebras
• The Brauer Group of Graded Azumaya Algebras. II: Graded Galois Extensions
• A Cohomological Approach to the Brauer-Long Group and the Groups of Galois Extensions and Strongly Graded Rings
• Graded Brauer Groups.
• The Brauer Group of Graded Azumaya Algebras

This page was built for publication: Some invariants for equivalent \(G\)-algebras