Classifying Octonionic-Linear Operators Public Deposited

http://ir.library.oregonstate.edu/concern/undergraduate_thesis_or_projects/qj72pd428

June 2017

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  • 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 of linear operators that maps to the canonical basis of matrices for each space. Finally, we discuss automorphisms of the octonions, a special subset of the linear operators.
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  • description.provenance : Approved for entry into archive by Steven Van Tuyl(steve.vantuyl@oregonstate.edu) on 2017-07-05T18:19:59Z (GMT) No. of bitstreams: 2 license_rdf: 1370 bytes, checksum: cd1af5ab51bcc7a5280cf305303530e9 (MD5) Classifying Octonionic-Linear Operators.pdf: 276521 bytes, checksum: ea96431310f159c72748fd0755a726c6 (MD5)
  • description.provenance : Made available in DSpace on 2017-07-05T18:19:59Z (GMT). No. of bitstreams: 2 license_rdf: 1370 bytes, checksum: cd1af5ab51bcc7a5280cf305303530e9 (MD5) Classifying Octonionic-Linear Operators.pdf: 276521 bytes, checksum: ea96431310f159c72748fd0755a726c6 (MD5)
  • description.provenance : Submitted by Alexander Putnam (putnama@oregonstate.edu) on 2017-06-30T19:35:08Z No. of bitstreams: 2 license_rdf: 1370 bytes, checksum: cd1af5ab51bcc7a5280cf305303530e9 (MD5) Classifying Octonionic-Linear Operators.pdf: 276521 bytes, checksum: ea96431310f159c72748fd0755a726c6 (MD5)
  • description.provenance : Approved for entry into archive by Steven Van Tuyl(steve.vantuyl@oregonstate.edu) on 2017-06-30T19:47:38Z (GMT) No. of bitstreams: 2 license_rdf: 1370 bytes, checksum: cd1af5ab51bcc7a5280cf305303530e9 (MD5) Classifying Octonionic-Linear Operators.pdf: 276521 bytes, checksum: ea96431310f159c72748fd0755a726c6 (MD5)

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Last modified: 11/08/2017

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