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Lie Groups as Multiplication Groups of Topological Loops

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In this paper, we present some new results on the question whether a Lie group can be represented as the multiplication group of a three-dimensional topological loop. We deal with the classes of quasi-simple Lie groups and nilpotent Lie groups.

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Authors and Affiliations

  1. Institute of Mathematics, University of Debrecen, Debrecen, Hungary

    Á. Figula

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  1. Á. Figula
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Correspondence to Á. Figula.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 97, Proceedings of the International Conference “Lie Groups, Differential Equations, and Geometry,” June 10–22, 2013, Batumi, Georgia, Part 2, 2015.

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Figula, Á. Lie Groups as Multiplication Groups of Topological Loops. J Math Sci 218, 742–747 (2016). https://doi.org/10.1007/s10958-016-3059-8

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