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References (17)
-
K. Mccrimmon (1985)
Nonassociative algebras with scalar involutionPacific Journal of Mathematics, 116
-
(1998)
Tignol. “The book of involutions. -
N. Jacobson (1961)
Some groups of Transformations defined by Jordan Algebras. III. Groups of Type E61.Journal für die reine und angewandte Mathematik (Crelles Journal), 1961
-
R. Schafer (1966)
An Introduction to Nonassociative Algebras -
K. Mccrimmon (1969)
The Freudenthal-Springer-Tits constructions of exceptional Jordan algebrasTransactions of the American Mathematical Society, 139
-
M. Knus, A. Merkurjev, M. Rost, J. Tignol, J. Tits (1998)
The Book of Involutions -
Holger Petersson (1993)
COMPOSITION ALGEBRAS OVER ALGEBRAIC CURVES OF GENUS ZEROTransactions of the American Mathematical Society, 337
-
N. Jacobson (1981)
Structure theory of Jordan algebras -
“ The classification of Moufang polygons ” . A forthcoming book . 28 -
Some structure theorems on Jordan algebras of degree 3 over arbitrary fields -
(1971)
Quadratic Jordan algebras of quadratic forms with base point -
K. Mccrimmon (1971)
Homotopes of alternative algebrasMathematische Annalen, 191
-
A. Albert (1942)
Non-Associative Algebras: I. Fundamental Concepts and IsotopyAnnals of Mathematics, 43
-
A. Albert (1958)
A Construction of Exceptional Jordan Division AlgebrasAnnals of Mathematics, 67
-
(1975)
Jordan pairs -
T. Springer, F. Veldkamp (2000)
Octonions, Jordan Algebras and Exceptional Groups -
A. A. Albert (1942)
Nonassociative algebrasAnn. of Math., 43
- Publisher
- Springer Journals
- Copyright
- Copyright © 2002 by Mathematische Seminar
- Subject
- Mathematics; Algebra; Differential Geometry; Combinatorics; Number Theory; Topology; Geometry
- ISSN
- 0025-5858
- eISSN
- 1865-8784
- DOI
- 10.1007/BF02941670
- Publisher site
- See Article on Publisher Site
Abstract
The structure group of an alternative algebra and various canonical subgroups are defined and investigated. Using the principle of triality, natural sets of generators for these groups in the case of octonion algebras are exhibited.
Journal
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg – Springer Journals
Published: Aug 28, 2008