Some criteria for detecting capable Lie algebras

Francesco Russo, Mohsen Parvizi, Peyman Niroomand

    Risultato della ricerca: Articlepeer review

    25 Citazioni (Scopus)

    Abstract

    In virtue of a recent bound obtained in [P. Niroomand and F.G. Russo, A note on the Schur multiplier of a nilpotent Lie algebra, Comm. Algebra 39 (2011), 1293--1297], we classify all capable nilpotent Lie algebras of finite dimension possessing a derived subalgebra of dimension one. Indirectly, we find also a criterion for detecting noncapable Lie algebras. The final part contains a construction, which shows that there exist capable Lie algebras of arbitrary big corank (in the sense of Berkovich--Zhou).
    Lingua originaleEnglish
    pagine (da-a)36-44
    Numero di pagine9
    RivistaJournal of Algebra
    Volume384
    Stato di pubblicazionePublished - 2013

    All Science Journal Classification (ASJC) codes

    • Algebra and Number Theory

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