Title of Oral/Poster Presentation

From Isomorphisms for Lie Algebra-Subalgebra Pairs to Diffeomorphisms for the Equivalence of Space-Times

Presenter Information

Jesse HicksFollow

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

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Apr 9th, 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.