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Filtering by: Creator Manogue, Corinne A. Advisor Dray, Tevian Degree Level Bachelor's

Describing Particles with Lie and Clifford Algebras

Creator:

Johnson, Isabella G.

Abstract:

I construct and examine the properties of Lie and Clifford algebras which are used to describe certain types of particles. These algebras are then related to the traditional theory of division algebras. Quaternions are applied to these algebras and their properties are exploited to model physical properties of particles. The...

Resource Type:

Undergraduate Thesis

Full Text:

Manogue for the encouragement and openness when I was trying to find a research project and to my
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
Orienting the Cube in Minkowski Space and Orienting Myself in Mathematics

Creator:

O'Harrow, Josie

Abstract:

This is a two-part thesis. The first part is a generalization of vector calculus tools to Minkowski Space, a non-Euclidean 3-dimensional geometry that has a distance function that is not positive definite. We orient a cube in Minkowski Space using the generalized Stokes' Theorem to relate a divergence integral to...

Resource Type:

Honors College Thesis

Full Text:

in Mathematics By Jo O’Harrow A THESIS submitted to Oregon State University Honors College in