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Product decompositions of solvable Lie groups

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Summary

The article investigate the structure of real solvable connected Lie groups. It is described how one can decompose a solvable Lie group in direct and semidirect products of closed connected subgroups. In particular, the commutator group, Cartan subgroups, the center, maximal compactly embedded subgroups and tori are considered. Furthermore, one can find special solvable Lie groups and their product decompositions, namely compactly generated solvable Lie groups and those Lie groups which are generated by maximal compactly embedded subgroups.

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Authors and Affiliations

  1. Fachbereich Mathematik, Technische Hochschule Darmstadt, Schloßgartenstraß 7, D-64289, Darmstadt, Germany

    Michael Wüstner

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  1. Michael Wüstner
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This article was processed by the author using the LATEX style filecljour1 from Springer-Verlag.

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Wüstner, M. Product decompositions of solvable Lie groups. Manuscripta Math 91, 179–194 (1996). https://doi.org/10.1007/BF02567948

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  • DOI: https://doi.org/10.1007/BF02567948

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