Equivalence and the Brauer–Clifford Group forG-Algebras over Commutative Rings

DOI10.1080/00927872.2011.604242zbMath1246.16017OpenAlexW2055874914MaRDI QIDQ3113843

Allen Herman, Dipra Mitra

Publication date: 25 January 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.604242

zbMATH Keywords

Brauer-Clifford groupsequivalences of \(G\)-algebrasequivariant Brauer groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Brauer groups (algebraic aspects) (16K50)

Related Items (5)

On Clifford theory with Galois action ⋮ The Brauer-Clifford group for \((S,H)\)-Azumaya algebras over a commutative ring. ⋮ Clifford theory and endoisomorphisms. ⋮ Corestriction for algebras with group action. ⋮ The Schur-Clifford subgroup of the Brauer-Clifford group

Cites Work

• The Brauer-Clifford group.
• Brauer-Clifford equivalence of full matrix algebras.
• Invariants for equivalence of central simple \(G\)-algebras.
• Clifford theory with Schur indices
• Some invariants for equivalent \(G\)-algebras
• The Schur indices of the irreducible characters of the special linear groups
• Using \(G\)-algebras for Schur index computation
• Clifford theory for cyclic quotient groups
• Separable algebras over commutative rings
• The equivariant Brauer group of a group
• Characters and Equivalence Classes of Central Simple Group Graded Algebras
• Equivalence of g-algebras with complemented centroid
• Orthogonal and Symplectic Representations of Groups
• CLIFFORD CLASSES OF PRIMITIVE CENTRAL SIMPLE G-ALGEBRAS

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