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A History Of Complex Simple Lie Algebras, Avrila Frazier Dec 2023

A History Of Complex Simple Lie Algebras, Avrila Frazier

Electronic Theses and Dissertations

In 1869, prompted by his work in differential equations, Sophus Lie wondered about categorizing what he called “closed systems of commutative transformations,” while around the same time, Wilhelm Killing’s work on non-Euclidean geometry encountered related topics. As mathematicians recognized this as a division of abstract algebra, the area became known as “continuous transformation groups," but we now refer to them as Lie groups.

Patterns and structures emerged from their work, such as describing Lie groups in connection with their associated Lie algebras, which can be categorized in many important ways. In this paper, we focus on Lie algebras over the …


Tenacity, Angela Stevenson Dec 2019

Tenacity, Angela Stevenson

Electronic Theses and Dissertations

ABSTRACT

Creating my exhibition, Tenacity, was a labor of love that took place over the year and a half that I was a student in Stephen F. Austin State University of Texas’s Graduate Program. I explored new processes in painting, including the use of transfers, and did extensive research into the lives of female historical figures. This exhibition was born of a wish to share knowledge with others as well as to remind society that anyone can elicit change.


Design Guidelines: A Practical Guide To Preserving The Historic, Cultural, And Architectural Heritage Of Gladewater, Texas, Conor Herterich Aug 2018

Design Guidelines: A Practical Guide To Preserving The Historic, Cultural, And Architectural Heritage Of Gladewater, Texas, Conor Herterich

Electronic Theses and Dissertations

In October of 1930, Columbus Marion Joiner’s oil rig, “Daisy Bradford No. 3,” blew a gusher of oil high into the East Texas sky. The subsequent storm of economic activity that resulted from the discovery of the East Texas oilfield irrevocably changed the built environment of many small towns in the region, including Gladewater, Texas. Oil money that flowed into the city funded a flurry of building projects in the 1930s and 1940s that left an indelible mark on the landscape of Gladewater’s downtown area. Unfortunately, a lack of oversight, planning, and guidance has since led to the deterioration of …


Design Plan For The Sawmill Town History Wing At The Texas Forestry Museum, Kendall D. Gay Jul 2017

Design Plan For The Sawmill Town History Wing At The Texas Forestry Museum, Kendall D. Gay

Electronic Theses and Dissertations

The Texas Forestry Museum in Lufkin, Texas is the only forestry museum in the state. It preserves artifacts and educates visitors about Texas’ forest industry history. The museum has a Sawmill Town History Wing that is outdated and in need of a refreshing exhibit design based on current best practices. Using a previous museum audit as a guide, the new exhibit will have better flow, panel aesthetics, content, and interactive elements. By creating a new exhibit, the museum is better able to educate and entertain the visitors about Texas’ forest industry history.