Restricted Lie (Super)Algebras in Characteristic 3

Sofiane Bouarroudj, A. O. Krutov, A. V. Lebedev, D. A. Leites, I. M. Shchepochkina

    Research output: Contribution to journalArticle

    Abstract

    We give explicit formulas proving that the following Lie (super)algebras are restricted: known exceptional simple vectorial Lie (super)algebras in characteristic 3, deformed Lie (super)algebras with indecomposable Cartan matrix, simple subquotients over an algebraically closed field of characteristic 3 of these (super)algebras (under certain conditions), and deformed divergence-free Lie superalgebras of a certain type with any finite number of indeterminates in any characteristic.

    Original languageEnglish (US)
    Pages (from-to)49-52
    Number of pages4
    JournalFunctional Analysis and its Applications
    Volume52
    Issue number1
    DOIs
    StatePublished - Jan 1 2018

    Fingerprint

    Lie Superalgebra
    Algebra
    Cartan Matrix
    Divergence-free
    Superalgebra
    Algebraically closed
    Explicit Formula

    Keywords

    • characteristic 3
    • Lie superalgebra
    • restricted Lie algebra

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

    Cite this

    Bouarroudj, S., Krutov, A. O., Lebedev, A. V., Leites, D. A., & Shchepochkina, I. M. (2018). Restricted Lie (Super)Algebras in Characteristic 3. Functional Analysis and its Applications, 52(1), 49-52. https://doi.org/10.1007/s10688-018-0206-7

    Restricted Lie (Super)Algebras in Characteristic 3. / Bouarroudj, Sofiane; Krutov, A. O.; Lebedev, A. V.; Leites, D. A.; Shchepochkina, I. M.

    In: Functional Analysis and its Applications, Vol. 52, No. 1, 01.01.2018, p. 49-52.

    Research output: Contribution to journalArticle

    Bouarroudj, S, Krutov, AO, Lebedev, AV, Leites, DA & Shchepochkina, IM 2018, 'Restricted Lie (Super)Algebras in Characteristic 3', Functional Analysis and its Applications, vol. 52, no. 1, pp. 49-52. https://doi.org/10.1007/s10688-018-0206-7
    Bouarroudj S, Krutov AO, Lebedev AV, Leites DA, Shchepochkina IM. Restricted Lie (Super)Algebras in Characteristic 3. Functional Analysis and its Applications. 2018 Jan 1;52(1):49-52. https://doi.org/10.1007/s10688-018-0206-7
    Bouarroudj, Sofiane ; Krutov, A. O. ; Lebedev, A. V. ; Leites, D. A. ; Shchepochkina, I. M. / Restricted Lie (Super)Algebras in Characteristic 3. In: Functional Analysis and its Applications. 2018 ; Vol. 52, No. 1. pp. 49-52.
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    AU - Shchepochkina, I. M.

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