VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • Instances of the Kaplansky-Lvov multilinear conjecture for polynomials of degree three
    Dykema, Kennneth J. ; Klep, Igor, matematik
    Given a positive integer ▫$d$▫, the Kaplansky-Lvov conjecture states that the set of values of a multilinear noncommutative polynomial ▫$f \in \mathbb{C} \langle x_1, \ldots, x_n \rangle$▫ on the ... matrix algebra ▫$M_d(\mathbb{C})$▫ is a vector subspace. In this article the technique of using one-wiggle families of Sylvester's clock-and-shift matrices is championed to establish the conjecture for polynomials ▫$f$▫ of degree three when ▫$d$▫ is even or ▫$d < 17$▫.
    Vir: Linear algebra and its applications. - ISSN 0024-3795 (Vol. 508, 2016, str. 272-288)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2016
    Jezik - angleški
    COBISS.SI-ID - 17764441

    Povezava(-e):

    http://dx.doi.org/10.1016/j.laa.2016.08.005

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