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ATENSOR

swMATH ID: 55
Software Authors: V.A. Ilyin, A.P. Kryukov
Description: ATENSOR - REDUCE program for tensor simplification. Nature of problem: Simplification of tensor expressions taking into account multiterm linear identities, symmetry relations and renaming dummy indices. This problem is important for the calculations in the gravity theory, differential geometry and other fields where indexed objects arise. Solution method: The group algebra technique for permutation group is applied to construct a canonical subspace and the effective algorithm for the corresponding projection.
Homepage: http://cpc.cs.qub.ac.uk/summaries/ADDQ_v1_0.html
Programming Languages: Reduce.
Operating Systems: UNIX.
Keywords: Tensor; Symmetry; Multiterm linear Identities; Dummy indices; Simplification; Permutation group; Reduce; Computer algebra.
Related Software: MathTensor; Riegeom; Invar; REDUCE; xTensor; GRTensorII; Cadabra; Ricci; Redberry; FORM; Canon; SHEEP; Redten; Maple; xTerior; DifferentialGeometry; Maxima; IPython; Python; xCore
Referenced in: 12 Publications

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
ATENSOR – REDUCE program for tensor simplification. Zbl 0921.65035
Ilyin, V. A.; Kryukov, A. P.
1996

Referencing Publications by Year