Excellent algebraic groups. I

DOI10.1006/jabr.1997.7209zbMath0910.20027OpenAlexW2081981776MaRDI QIDQ1383959

Ina Kersten, Ulf Rehmann

Publication date: 19 April 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7209

zbMATH Keywords

semisimple algebraic groupsfield extensionsanisotropic kernelsexcellent algebraic groupsexcellent Azumaya algebrasexcellent regular quadratic formsexcellent special orthogonal groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Quadratic forms over general fields (11E04) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (2)

Prescribed behavior of central simple algebras after scalar extension. ⋮ Symbol algebras and cyclicity of algebras after a scalar extension.

Cites Work

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• Generic splitting fields of central simple algebras
• The Brauer group and the center of generic matrices
• \(R\)-equivalence and special unitary groups
• Generic splitting of reductive groups
• Algebraic K-theory
• Generic element in \(SK_ 1\) for simple algebras
• Function fields of generalized brauer-severi varieties
• The Index of a Brauer Class on a Brauer-Severi Variety
• Generic Splitting of Quadratic Forms, I
• Generic Splitting of Quadratic Forms, II
• The multipliers of similitudes and the Brauer group of homogeneous varieties.
• Quadratic Forms of Height Two
• Specialization of quadratic and symmetric, bilinear forms, and a norm theorem
• Représentations linéaires irréductibles d'un groupe réductif sur un corps quelconque.
• On the Commutator Group of a Simple Algebra

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