Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

[Licence| Download | New Version Template] adzk_v1_0.tar.gz(2648 Kbytes) | ||
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Manuscript Title: The Invar Tensor Package | ||

Authors: J.M. Martín-García, R. Portugal, L.R.U. Manssur | ||

Program title: Invar Tensor Package | ||

Catalogue identifier: ADZK_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 177(2007)640 | ||

Programming language: Mathematica and Maple. | ||

Computer: Any computer running Mathematica versions 5.0 to 5.2 or Maple versions 9 and 10. | ||

Operating system: Linux, Unix, Windows XP. | ||

RAM: 30 Mb | ||

Word size: 64 or 32 bits | ||

Keywords: Riemann tensor, tensor calculus, Mathematica, Maple, computer algebra. | ||

PACS: 02.70.Wz, 04.20.-q, 02.40.Ky. | ||

Classification: 5. | ||

External routines: The Mathematica version requires the xTensor and xPerm packages. These are freely available at http://metric.iem.csic.es/Martin-Garcia/xAct | ||

Nature of problem:Manipulation and simplification of tensor expressions. Special attention on simplifying scalar polynomial expressions formed from the Riemann tensor on a four-dimensional metric-compatible manifold. | ||

Solution method:Algorithms of computational group theory to simplify expressions with tensors that obey permutation symmetries. Tables of syzygies of the scalar invariants of the Riemann tensor. | ||

Restrictions:The present versions do not fully address the problem of reducing differential invariants or monomials of the Riemann tensor with free indices. | ||

Running time:Less than a second to fully reduce a monomial of the Riemann tensor of degree 7 in terms of independent invariants. |

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