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Filtering by: Creator Petsche, Clayton Remove constraint Creator: Petsche, Clayton Advisor Dray, Tevian Remove constraint Advisor: Dray, Tevian

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  • Subalgebras of the Split Octonions

    Creator:
    Bentz, Lida
    Abstract:
    We classify the subalgebras of the split octonions, paying particular attention to the null subalgebras and their extensions.
    Resource Type:
    Capstone Project

  • Classifying Octonionic-Linear Operators

    Creator:
    Putnam, Alexander
    Abstract:
    The goal of this paper is to classify linear operators with octonionic coefficients and octonionic variables. While building up to the octonions we also classify linear operators over the quaternions and show how to relate the linear operators over the quaternions and octonions to matrices. We also construct a basis...
    Resource Type:
    Capstone Project

  • The geometry of the octonionic multiplication table

    Creator:
    Killgore, Peter Lloyd
    Abstract:
    We analyze some symmetries of the octonionic multiplication table, expressed in terms of the Fano plane. In particular, we count how many ways the Fano plane can be labeled as the octonionic multiplication table, all corresponding to a specified octonion algebra. We show that only 28 of these labelings of...
    Resource Type:
    Honors College Thesis
    Full Text:
    Corinne Manogue, Committee Member, representing Physics Clayton Petsche, Committee Member, representing