20.3 ATENSOR: A REDUCE Program for Tensor Simplification

Simplification of tensor expression with taking into account multiterm linear identities, symmetry relations and renaming dummy indices. This problem is important for the calculation in the gravity theory, differential geometry, other fields where indexed objects arise.

The group algebra technique for permutation group is applied to construt a canonical subspace and the effective algorithm for the corresponding projection.

Authors V. A. Ilyin and A. P. Kryukov.

For more information, see [IK96].

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