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Physical Sciences and Mathematics Commons™
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Full-Text Articles in Physical Sciences and Mathematics
College Algebra (Atlm), Shreyas Desai, Anthonia Ekwuocha, Noel Whelchel
College Algebra (Atlm), Shreyas Desai, Anthonia Ekwuocha, Noel Whelchel
Mathematics Grants Collections
This Grants Collection for College Algebra was created under a Round Twelve ALG Textbook Transformation Grant.
Affordable Learning Georgia Grants Collections are intended to provide faculty with the frameworks to quickly implement or revise the same materials as a Textbook Transformation Grants team, along with the aims and lessons learned from project teams during the implementation process.
Each collection contains the following materials:
- Linked Syllabus
- Initial Proposal
- Final Report
Spacetime Groups, Ian M. Anderson, Charles G. Torre
Spacetime Groups, Ian M. Anderson, Charles G. Torre
Publications
A spacetime group is a connected 4-dimensional Lie group G endowed with a left invariant Lorentz metric h and such that the connected component of the isometry group of h is G itself. The Newman-Penrose formalism is used to give an algebraic classification of spacetime groups, that is, we determine a complete list of inequivalent spacetime Lie algebras, which are pairs (g,η), with g being a 4-dimensional Lie algebra and η being a Lorentzian inner product on g. A full analysis of the equivalence problem for spacetime Lie algebras is given which leads to a completely algorithmic solution to the …