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Filtering by: Creator Manogue, Corinne A. Remove constraint Creator: Manogue, Corinne A. Advisor Dray, Tevian Remove constraint Advisor: Dray, Tevian Committee Member Petsche, Clayton Remove constraint Committee Member: Petsche, Clayton

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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
    Full Text:
    signatures of subalgebras of O′. 24 REFERENCES REFERENCES References [1] Dray, T. and Manogue, C. A

  • 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
    Full Text:
    Classifying Octonionic-Linear Operators by Alexander A