On division algebras of degree 3 with involution

DOI10.1006/jabr.1996.0299zbMath0861.16012OpenAlexW2056860440MaRDI QIDQ1815016

Max-Albert Knus, Darrell E. Haile

Publication date: 20 April 1997

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

Full work available at URL: https://semanticscholar.org/paper/b5b895ecd937fd82512e97a004f3c08c24fdb650

zbMATH Keywords

Galois groupsinvolutionscentral simple algebrasClifford algebrascentral division algebrasmaximal subfieldsbinary cubic formsWedderburn's theoremdivision algebras of degree 3

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite-dimensional division rings (16K20)

Related Items (5)

Structure Theorems for Jordan Algebras of Degree Three Over Fields of Arbitrary Characteristic ⋮ Classification of hyperbolic planes in algebras of degree three. ⋮ NONCOMMUTATIVE SYMMETRIC FUNCTIONS AND W-POLYNOMIALS ⋮ Isotropic subspaces in symmetric composition algebras and Kummer subspaces in central simple algebras of degree 3 ⋮ Algebras of odd degree with involution, trace forms and dihedral extensions

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