The centers of generic division algebras with involution

DOI10.1007/BF02765023zbMath0662.16014OpenAlexW2051038734MaRDI QIDQ1113980

Allan Berele, David J. Saltman

Publication date: 1988

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02765023

zbMATH Keywords

centerscentral simple algebras with involutiongeneric splitting fieldsBrauer-Severi-varietiesgeneric central simple algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite-dimensional division rings (16K20)

Related Items

Colength sequences for matrices., Asymptotics in cocharacters of simple algebras with involution., Fibers of orthogonal and symplectic matrix invariants, Involutions and Brauer-Severi varieties, Index reduction formulas for twisted flag varieties. I, Invariant fields of symplectic and orthogonal groups., Generic algebras with involution of degree \(8m\)., Multiplicative field invariants and the Brauer group

Cites Work

• Unnamed Item
• Unnamed Item
• Generic splitting fields of central simple algebras
• Norm polynomials and algebras
• Théorie de la descente et algèbres d'Azumaya
• On the Galois cohomology of the projective linear group and its applications to the construction of generic splitting fields of algebras
• The center of the ring of 3×3 generic matrices