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Conjugacy of Cartan Subalgebras in Solvable Leibniz Algebras and Real Leibniz Algebras

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Abstract

We extend conjugacy results from Lie algebras to their Leibniz algebra generalizations. The proofs in the Lie case depend on anti-commutativity. Thus it is necessary to find other paths in the Leibniz case. Some of these results involve Cartan subalgebras. Our results can be used to extend other results on Cartan subalgebras. We show an example here and others will be shown in future work.

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Authors and Affiliations

  1. Department of Mathematics, North Carolina State University, Raleigh, NC, USA

    Ernie Stitzinger & Ashley White

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  1. Ernie Stitzinger
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  2. Ashley White
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Correspondence to Ernie Stitzinger.

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Presented by Yuri Drozd.

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Stitzinger, E., White, A. Conjugacy of Cartan Subalgebras in Solvable Leibniz Algebras and Real Leibniz Algebras. Algebr Represent Theor 21, 627–633 (2018). https://doi.org/10.1007/s10468-017-9731-y

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  • DOI: https://doi.org/10.1007/s10468-017-9731-y

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