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Physical Sciences and Mathematics Commons

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Articles 1 - 4 of 4

Full-Text Articles in Physical Sciences and Mathematics

How To Find Killing Vectors, Charles G. Torre Mar 2013

How To Find Killing Vectors, Charles G. Torre

How to... in 10 minutes or less

We show how to compute the Lie algebra of Killing vector fields of a metric in Maple using the commands KillingVectors and LieAlgebraData. A Maple worksheet and a PDF version can be found below.


How To Find A Levi Decomposition Of A Lie Algebra, Ian M. Anderson Mar 2013

How To Find A Levi Decomposition Of A Lie Algebra, Ian M. Anderson

How to... in 10 minutes or less

We show how to compute the Levi decomposition of a Lie algebra in Maple using the command LeviDecomposition. A worksheet and corresponding PDF can be found below.


How To Create A Jordan Algebra, Ian M. Anderson, Thomas J. Apedaile Feb 2013

How To Create A Jordan Algebra, Ian M. Anderson, Thomas J. Apedaile

How to... in 10 minutes or less

We show how to create a Jordan algebra in Maple using the commands AlgebraLibraryData and AlgebraData.


How To Create The Quaternion & Octonion Algebras, Ian M. Anderson, Thomas J. Apedaile Feb 2013

How To Create The Quaternion & Octonion Algebras, Ian M. Anderson, Thomas J. Apedaile

How to... in 10 minutes or less

We show how to create the quaternion and octonion algebras with the DifferentialGeometry software. For each algebra, there is a split-form also available.