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Full-Text Articles in Physical Sciences and Mathematics
How To Find A Levi Decomposition Of A Lie Algebra, Ian M. Anderson
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
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
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.
How To Create A Lie Algebra, Ian M. Anderson
How To Create A Lie Algebra, Ian M. Anderson
How to... in 10 minutes or less
We show how to create a Lie algebra in Maple using three of the most common approaches: matrices, vector fields and structure equations. PDF and Maple worksheets can be downloaded from the links below.