From Isomorphisms for Lie Algebra-Subalgebra Pairs to Diffeomorphisms for the Equivalence of Space-Times
Class
Article
Department
Mathematics and Statistics
Faculty Mentor
Ian Anderson
Presentation Type
Oral Presentation
Abstract
Professor Ian Anderson has developed software for the computer classification of lower dimensional Lie algebras. For computer classification of space-times, the main objects of study in Einstein's theory of general relativity, more is needed. In this presentation I will describe our new software for the classification of Lie algebra-subalgebra pairs. This software is the key tool and an integral part of a larger scheme to determine the equivalence of space-times with symmetry. These equivalences come in the form of diffeomorphisms and can only be computed once an equivalence of particular Lie algebra-subalgebra pairs has been found. This larger scheme will be explained to demonstrate the importance of the new software.
Start Date
4-9-2015 11:00 AM
From Isomorphisms for Lie Algebra-Subalgebra Pairs to Diffeomorphisms for the Equivalence of Space-Times
Professor Ian Anderson has developed software for the computer classification of lower dimensional Lie algebras. For computer classification of space-times, the main objects of study in Einstein's theory of general relativity, more is needed. In this presentation I will describe our new software for the classification of Lie algebra-subalgebra pairs. This software is the key tool and an integral part of a larger scheme to determine the equivalence of space-times with symmetry. These equivalences come in the form of diffeomorphisms and can only be computed once an equivalence of particular Lie algebra-subalgebra pairs has been found. This larger scheme will be explained to demonstrate the importance of the new software.