How to... in 10 minutes or less Copyright (c) 2013 Utah State University All rights reserved. http://digitalcommons.usu.edu/dg_how Recent documents in How to... in 10 minutes or less en-us Mon, 04 Mar 2013 01:36:33 PST 3600 How to Find Killing Vectors http://digitalcommons.usu.edu/dg_how/7 http://digitalcommons.usu.edu/dg_how/7 Sat, 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.

]]> Charles G. Torre How To Find A Levi Decomposition of a Lie Algebra http://digitalcommons.usu.edu/dg_how/6 http://digitalcommons.usu.edu/dg_how/6 Sat, 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.

]]> Ian M. Anderson How To Create A Jordan Algebra http://digitalcommons.usu.edu/dg_how/5 http://digitalcommons.usu.edu/dg_how/5 Fri, 22 Feb 2013 10:40:19 PST We show how to create a Jordan algebra in Maple using the commands AlgebraLibraryData and AlgebraData.

]]> 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/4 Thu, 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.

]]> Ian M. Anderson et al. How to Create a Clifford Algebra http://digitalcommons.usu.edu/dg_how/3 http://digitalcommons.usu.edu/dg_how/3 Tue, 19 Feb 2013 06:30:46 PST We show how to create a Clifford algebra in Maple using the DifferentialGeometry LieAlgebras package.

]]> 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/2 Wed, 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.

]]> Charles G. Torre How to Create a Lie Algebra http://digitalcommons.usu.edu/dg_how/1 http://digitalcommons.usu.edu/dg_how/1 Thu, 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.

]]> Ian M. Anderson