Journal of Lie Theory

no. 4
Reconstruction from Representations: Jacobi via Cohomology
Journal of Lie Theory, Volume 27 (2017) no. 4, pp. 1141-1150
A subalgebra h of a Lie algebra g determines an h-representation ρ on m = g / h. We discuss how to reconstruct g from (h, m, ρ). In other words, we find all the ingredients for building non-reductive Klein geometries. The Lie algebra cohomology plays a decisive role here.
DOI: 10.5802/jolt.987
Classification: 17B55, 22E47, 17B05, 22F30
Keywords: Homogeneous space, Lie algebra cohomology, non-reductive isotropy 
@article{JOLT_2017_27_4_a13,
     author = {B. Kruglikov and H. Winther},
     title = {Reconstruction from {Representations:} {Jacobi} via {Cohomology}},
     journal = {Journal of Lie Theory},
     pages = {1141--1150},
     year = {2017},
     volume = {27},
     number = {4},
     doi = {10.5802/jolt.987},
     zbl = {1430.17059},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.987/}
}
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%A H. Winther
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%J Journal of Lie Theory
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B. Kruglikov; H. Winther. Reconstruction from Representations: Jacobi via Cohomology. Journal of Lie Theory, Volume 27 (2017) no. 4, pp. 1141-1150. doi: 10.5802/jolt.987

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