Geodesic
Matrix Lie Groups as 4-Dimensional Hypercomplex Manifolds with Hermitian-Norden Metrics
Hristo Manev1
1Department of Medical Informatics, Faculty of Public Health, Medical University Plovdiv, Plovdiv 4002, Bulgaria
Journal of Lie Theory, Tome 30 (2020) no. 3, pp. 617-626

Voir la notice de l'article provenant de la source Heldermann Verlag

There are studied Lie groups considered as almost hypercomplex Hermitian-Norden manifolds, which are integrable and have the lowest dimension four. It is established a correspondence of the derived types Lie algebras with invariant hypercomplex structures and the explicit matrix representation of their Lie groups. There are constructed examples of the considered structure of different types on some known Lie groups.
Classification : 22E60, 22E15, 53C15, 53C50, 22E30, 53C55
Mots-clés : Lie group, Lie algebra, Matrix representation, Almost hypercomplex structure, Hermitian metric, Norden metric

Hristo Manev  1

1 Department of Medical Informatics, Faculty of Public Health, Medical University Plovdiv, Plovdiv 4002, Bulgaria 
Hristo Manev. Matrix Lie Groups as 4-Dimensional Hypercomplex Manifolds with Hermitian-Norden Metrics. Journal of Lie Theory, Tome 30 (2020) no. 3, pp. 617-626. http://geodesic.mathdoc.fr/item/JOLT_2020_30_3_a0/
@article{JOLT_2020_30_3_a0,
     author = {Hristo Manev},
     title = {Matrix {Lie} {Groups} as {4-Dimensional} {Hypercomplex} {Manifolds} with {Hermitian-Norden} {Metrics}},
     journal = {Journal of Lie Theory},
     pages = {617--626},
     year = {2020},
     volume = {30},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2020_30_3_a0/}
}
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