Journal of Lie Theory

no. 2
On Algebraic Torsion Forms and their Spin Holonomy Algebras
Journal of Lie Theory, Volume 17 (2007) no. 2, pp. 357-377
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.
DOI: 10.5802/jolt.451
Classification: 53C10, 53C27, 53C29
Keywords: Spin connection, spin holonomy algebra 
@article{JOLT_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},
     year = {2007},
     volume = {17},
     number = {2},
     doi = {10.5802/jolt.451},
     zbl = {1126.53025},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.451/}
}
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N. Bernhardt; P.-A. Nagy. On Algebraic Torsion Forms and their Spin Holonomy Algebras. Journal of Lie Theory, Volume 17 (2007) no. 2, pp. 357-377. doi: 10.5802/jolt.451

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