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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 2, Pages 351–367 (Mi smj2642)  
Nilpotent sums of lie algebras, and applications

V. V. Gorbatsevich

Moscow State Aviation Technological University, Moscow, Russia
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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.
Keywords: Lie algebra, nilpotent sum, nilmanifold, Anosov diffeomorphism.
Received: 07.02.2014
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 2, Pages 285–296
DOI: https://doi.org/10.1134/S0037446615020081
Bibliographic databases:
Document Type: Article
UDC: 512.814.4+512.813.52
Language: Russian
Citation: V. V. Gorbatsevich, “Nilpotent sums of lie algebras, and applications”, Sibirsk. Mat. Zh., 56:2 (2015), 351–367; Siberian Math. J., 56:2 (2015), 285–296
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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