Physical Sciences and Mathematics Commons^™

Calculating The Cohomology Of A Lie Algebra Using Maple And The Serre Hochschild Spectral Sequence, Jacob Kullberg

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

Lie algebra cohomology is an important tool in many branches of mathematics. It is used in the Topology of homogeneous spaces, Deformation theory, and Extension theory. There exists extensive theory for calculating the cohomology of semi simple Lie algebras, but more tools are needed for calculating the cohomology of general Lie algebras. To calculate the cohomology of general Lie algebras, I used the symbolic software program called Maple. I wrote software to calculate the cohomology in several different ways. I wrote several programs to calculate the cohomology directly. This proved to be computationally expensive as the number of differential forms …

Investigation Of Alternatives For Migrating The One-Stop-Shop (Oss) Application To A Single, Web-Based Offering That Is Conducive For Both Desktop And Mobile Use., Sahiti Katragadda

All Graduate Plan B and other Reports, Spring 1920 to Spring 2023

The One-Stop-Shop (OSS) application provides real-time data which is helpful for travelers in the Western United States in planning their travel. Included is traditional information (routing, imagery, weather), as well as points of interest and other route-specific information (elevations, rest areas, etc.). The system displays real-time data streams in a web-based application and in a separate mobile web application, which are presented to end users in a user-friendly format.

OSS web application and OSS mobile web application features have been examined and the best design features for the mobile application have been identified. Along with that, additional design features are …