Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] adsp_v1_0.tar.gz(44 Kbytes)|
|Manuscript Title: The Canon package: a fast kernel for tensor manipulators.|
|Authors: L.R.U. Manssur, R. Portugal|
|Program title: Canon|
|Catalogue identifier: ADSP_v1_0|
Distribution format: tar.gz
|Journal reference: Comput. Phys. Commun. 157(2004)173|
|Programming language: Maple.|
|Computer: Any m/c running Maple versions 6 to 9.|
|Operating system: Windows, Linux.|
|RAM: 3M words|
|Keywords: Tensor calculus, Maple, Computational group theory, Computer algebra.|
Nature of problem:
Manipulation and simplification of tensor expressions (or any expression in terms of indexed objects) in explicit index notation, where the indices obey generic permutation symmetries and there may exist dummy (summed over) indices.
Computational Group Theory algorithms have been used, specially algorithms for finding canonical representations of single and double cosets, and algorithms for creating strong generating sets.
Computer memory. With current equipment, expressions with hundreds of indices have been manipulated successfully.
The use of Computational Group Theory algorithms allows the package to manipulate objects with a few hundreds of indices.
Simplification of expressions with 15 Riemann tensors was done in less than 1 minute on a personal computer.
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