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Non-Associative Algebra and Its Applications pp 114–121Cite as

On Transitive Left-Symmetric Algebras

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 303))

Abstract

The relationships of transitive left-symmetric algebras with certain solvable Lie algebras are studied and new proofs are given of the following results: i) the associated Lie algebra of a transitive left symmetric algebra is solvable, and ii) a left-symmetric algebra is transitive if and only if the right multiplication operators are nilpotent.

Supported by the DGICYT, Ps. 90-0129 and by the DGA (PCB-6/91)

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Zaragoza, 50009, Zaragoza, Spain

    Alberto Elduque

  2. Department of Mathematics, University of Northern Iowa, Cedar Falls, Iowa, 50614, USA

    Hyo Chul Myung

Authors
  1. Alberto Elduque
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  2. Hyo Chul Myung
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Oviedo, Oviedo, Spain

    Santos González

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© 1994 Springer Science+Business Media Dordrecht

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Elduque, A., Myung, H.C. (1994). On Transitive Left-Symmetric Algebras. In: González, S. (eds) Non-Associative Algebra and Its Applications. Mathematics and Its Applications, vol 303. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0990-1_18

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  • DOI: https://doi.org/10.1007/978-94-011-0990-1_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4429-5

  • Online ISBN: 978-94-011-0990-1

  • eBook Packages: Springer Book Archive

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