Journal of Lie Theory

no. 1
Extensions of Super Lie Algebras
Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 125-134
We study (non-abelian) extensions of a super Lie algebra and identify a cohomological obstruction to the existence, parallel to the known one for Lie algebras. An analogy to the setting of covariant exterior derivatives, curvature, and the Bianchi identity in differential geometry is shown.
DOI: 10.5802/jolt.364
Classification: 17B05, 17B56
Keywords: Super Lie algebras, extensions of super Lie algebras, cohomology of super Lie algebras 
@article{JOLT_2005_15_1_a8,
     author = {D. V. Alekseevsky and P. W. Michor and W. A. F. Ruppert},
     title = {Extensions of {Super} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {125--134},
     year = {2005},
     volume = {15},
     number = {1},
     doi = {10.5802/jolt.364},
     zbl = {1098.17014},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.364/}
}
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D. V. Alekseevsky; P. W. Michor; W. A. F. Ruppert. Extensions of Super Lie Algebras. Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 125-134. doi: 10.5802/jolt.364

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