Abstract
We consider the nilpotent sum operation for arbitrary finite-dimensional Lie algebras. Some properties of this operation resemble those of the available nilpotent product operation for groups. We apply our results to constructing nilmanifolds and Anosov diffeomorphisms on them.
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Moscow. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 2, pp. 351–367, March–April, 2015.
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Gorbatsevich, V.V. Nilpotent sums of lie algebras, and applications. Sib Math J 56, 285–296 (2015). https://doi.org/10.1134/S0037446615020081
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DOI: https://doi.org/10.1134/S0037446615020081