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Filtering by: Creator Manogue, Corinne A. Remove constraint Creator: Manogue, Corinne A. Academic Affiliation Mathematics Remove constraint Academic Affiliation: Mathematics Advisor Dray, Tevian Remove constraint Advisor: Dray, Tevian

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  • Student Thoughts on Derivatives of Vector Fields

    Creator:
    Walker, Mesa E.
    Abstract:
    Junior level physics students are familiar with a few types of vector field derivatives, such as divergence and curl, but are typically unfamiliar with how to take a general derivative of a vector field. Three junior-level physics students were interviewed with the open-ended prompt, “How would you think about taking...
    Resource Type:
    Capstone Project
    Full Text:
    Manogue make about a gap in vector calculus instruction. The E&M students showed significant improvement

  • Division algebra representations of SO(4,2)

    Creator:
    Kincaid, Joshua James
    Abstract:
    Representations of SO(4,2;R) are constructed using 4 x 4 and 2 x 2 matrices with elements in H' ⊗ C . Using 2 x 2 matrix representations of C and H', the 4 x 4 representation is interpreted in terms of 16 x 16 real matrices. Finally, the known isomorphism...
    Resource Type:
    Masters Thesis
    Full Text:
    Kincaid A THESIS submitted to Oregon State University in partial fulfillment of the requirements for

  • Killing spinors and affine symmetry tensors in Gödel's Universe

    Creator:
    Cook, Samuel A.
    Abstract:
    The existence of generalized symmetries of Maxwell's equations in Gödel's Universe is investigated. It is shown that their existence is in turn tied to the existence of certain spinorial objects called Killing spinors. The conformal algebra, corresponding to valence (1; 1) Killing spinors, for Gödel's Universe is discussed in detail....
    Resource Type:
    Dissertation
    Full Text:
    AN ABSTRACT OF THE THESIS OF Samuel A. Cook for the degree

  • The structure of E6

    Creator:
    Wangberg, Aaron D.
    Abstract:
    A fundamental question related to any Lie algebra is to know its subalgebras. This is particularly true in the case of E6, an algebra which seems just large enough to contain the algebras which describe the fundamental forces in the Standard Model of particle physics. In this situation, the question...
    Resource Type:
    Dissertation
    Full Text:
    I wish to thank my advisor, Tevian Dray, and Corinne Manogue for their participation and advice as

  • 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