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Recent documents in How to... in 10 minutes or lessen-usTue, 07 Oct 2014 22:13:33 PDT3600How to Find Killing Vectors
http://digitalcommons.usu.edu/dg_how/7
http://digitalcommons.usu.edu/dg_how/7Sat, 02 Mar 2013 07:40:15 PST
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.
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Charles G. TorreHow To Find A Levi Decomposition of a Lie Algebra
http://digitalcommons.usu.edu/dg_how/6
http://digitalcommons.usu.edu/dg_how/6Sat, 02 Mar 2013 07:40:14 PST
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.
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Ian M. AndersonHow To Create A Jordan Algebra
http://digitalcommons.usu.edu/dg_how/5
http://digitalcommons.usu.edu/dg_how/5Fri, 22 Feb 2013 10:40:19 PST
We show how to create a Jordan algebra in Maple using the commands AlgebraLibraryData and AlgebraData.
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Ian M. Anderson et al.How To Create The Quaternion & Octonion Algebras
http://digitalcommons.usu.edu/dg_how/4
http://digitalcommons.usu.edu/dg_how/4Thu, 21 Feb 2013 11:30:20 PST
We show how to create the quaternion and octonion algebras with the DifferentialGeometry software. For each algebra, there is a split-form also available.
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Ian M. Anderson et al.How to Create a Clifford Algebra
http://digitalcommons.usu.edu/dg_how/3
http://digitalcommons.usu.edu/dg_how/3Tue, 19 Feb 2013 06:30:46 PST
We show how to create a Clifford algebra in Maple using the DifferentialGeometry LieAlgebras package.
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Ian M. Anderson et al.How to Create a Two-Component Spinor
http://digitalcommons.usu.edu/dg_how/2
http://digitalcommons.usu.edu/dg_how/2Wed, 10 Oct 2012 10:00:12 PDT
Let (M, g) be a spacetime, i.e., a 4-dimensional manifold M and Lorentz signature metric g. The key ingredients needed for constructing spinor fields on the spacetime are: a complex vector bundle E -> M ; an orthonormal frame on TM ; and a solder form relating sections of E to sections of TM (and tensor products thereof). We show how to create a two-component spinor field on the Schwarzschild spacetime using the DifferentialGeometry package in Maple. PDF and Maple worksheets can be downloaded from the links below.
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Charles G. TorreHow to Create a Lie Algebra
http://digitalcommons.usu.edu/dg_how/1
http://digitalcommons.usu.edu/dg_how/1Thu, 12 Jul 2012 07:38:33 PDT
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.
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Ian M. Anderson