Geodesic
On Algebraic Torsion Forms and their Spin Holonomy Algebras
Journal of Lie theory, Tome 17 (2007) no. 2, pp. 357-377.

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

We study holonomy algebras generated by an algebraic element of the Clifford algebra, or equivalently, the holonomy algebras of certain spin connections in flat space. We provide series of examples in arbitrary dimensions and establish general properties of the holonomy algebras under some mild conditions on the generating element.
Classification : 53C10, 53C27, 53C29
Mots-clés : Spin connection, spin holonomy algebra 
@article{JLT_2007_17_2_JLT_2007_17_2_a7,
     author = {N. Bernhardt and P.-A. Nagy },
     title = {On {Algebraic} {Torsion} {Forms} and their {Spin} {Holonomy} {Algebras}},
     journal = {Journal of Lie theory},
     pages = {357--377},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {2007},
     url = {http://geodesic.mathdoc.fr/item/JLT_2007_17_2_JLT_2007_17_2_a7/}
}
TY  - JOUR
AU  - N. Bernhardt
AU  - P.-A. Nagy 
TI  - On Algebraic Torsion Forms and their Spin Holonomy Algebras
JO  - Journal of Lie theory
PY  - 2007
SP  - 357
EP  - 377
VL  - 17
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JLT_2007_17_2_JLT_2007_17_2_a7/
ID  - JLT_2007_17_2_JLT_2007_17_2_a7
ER  - 
%0 Journal Article
%A N. Bernhardt
%A P.-A. Nagy 
%T On Algebraic Torsion Forms and their Spin Holonomy Algebras
%J Journal of Lie theory
%D 2007
%P 357-377
%V 17
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JLT_2007_17_2_JLT_2007_17_2_a7/
%F JLT_2007_17_2_JLT_2007_17_2_a7
N. Bernhardt; P.-A. Nagy . On Algebraic Torsion Forms and their Spin Holonomy Algebras. Journal of Lie theory, Tome 17 (2007) no. 2, pp. 357-377. http://geodesic.mathdoc.fr/item/JLT_2007_17_2_JLT_2007_17_2_a7/