Journal of Lie Theory

no. 4
Spin Holonomy Algebras of Self-Dual 4-Forms in R8
Journal of Lie Theory, Volume 17 (2007) no. 4, pp. 829-856
We give a complete classification of spin holonomy algebras on eight-dimensional Euclidean spaces w.r.t. a linear spin connection constructed from a self-dual 4-form T with constant coefficients. An important role in this classification is played by the set of spinors fixed by T, which is the algebraic model for the set of parallel spinors w.r.t. the spin connection.
DOI: 10.5802/jolt.474
Classification: 53C10, 53C27, 53C29
Keywords: Spin connection, spin holonomy algebra 
@article{JOLT_2007_17_4_a5,
     author = {N. Bernhardt and P.-A. Nagy},
     title = {Spin {Holonomy} {Algebras} of {Self-Dual} {4-Forms} in {R\protect\textsuperscript{8}}},
     journal = {Journal of Lie Theory},
     pages = {829--856},
     year = {2007},
     volume = {17},
     number = {4},
     doi = {10.5802/jolt.474},
     zbl = {1148.53037},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.474/}
}
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%A N. Bernhardt
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%J Journal of Lie Theory
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N. Bernhardt; P.-A. Nagy. Spin Holonomy Algebras of Self-Dual 4-Forms in R8. Journal of Lie Theory, Volume 17 (2007) no. 4, pp. 829-856. doi: 10.5802/jolt.474

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