Identification of monoparametric families of a remarkable complex Bol algebras class, generated by the symmetric space g2/so(4) - Archive ouverte HAL
Article Dans Une Revue AMSE-journals AMSE Année : 2014

Identification of monoparametric families of a remarkable complex Bol algebras class, generated by the symmetric space g2/so(4)

Résumé

Our paper focuses on identification and classification of remarkable Bol algebras class generated by exceptional compact symmetric pair g2/so(4) and characterized by the identity (x.y).(z.u)=0. This study is based on a matrix realization of g2 as an algebra of anti-symmetric matrixes of order 8×8. These matrixes verify a system of invariant identities imposed by isomorphism that exists between g2 and the octonions derivations algebra. The aim of the research and its results are a part of a common classic investigation approach that specifically targets classification of mathematical studied objects . In the treated case of couple g2/so(4), our work focuses on Bol Algebras that represent the linear infinitesimal analog of local analytic (left) Bol loops generated by the homogeneous space G2/SO(4) that is symmetric, compact and of rank 2. The paper contains a complete list of the monoparametric mentioned algebras families that appear as complex solutions of a constructed matrix equations system.
Fichier principal
Vignette du fichier
Houjairi-Eter_paper.pdf (263.13 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01223010 , version 1 (01-11-2015)

Identifiants

  • HAL Id : hal-01223010 , version 1

Citer

Mohamad Al Houjairi, Bassam El-Eter.. Identification of monoparametric families of a remarkable complex Bol algebras class, generated by the symmetric space g2/so(4) . AMSE-journals AMSE, 2014, AMSE JOURNALS –2014-Series: Advances A, Vol. 51 (N°1), pp 59-79. ⟨hal-01223010⟩

Collections

LABEXMED
90 Consultations
97 Téléchargements

Partager

More