Block distance invariant method for monoterm canonicalization of Riemann tensor polynomials

Author:

Liu Jiang1

Affiliation:

1. University of Shanghai for Science and Technology

Abstract

Symbolic manipulation of indexed polynomials is one of the oldest research topics in computer algebra. Monoterm canonicalization of indexed polynomials is indispensable in finding canonical forms of indexed polynomials. This poster puts forward a symmetric-block distance invariant method and develops a monoterm canonicalization algorithm for Riemann tensor polynomials. The algorithm is implemented in Maple, and shown to be very efficient as the running time is within 15 seconds even when the number of indices is up to 400.

Publisher

Association for Computing Machinery (ACM)

Reference7 articles.

1. Normalization in Riemann Tensor Polynomial Ring

2. Algorithmic simplification of tensor expressions

3. GROUP-THEORETIC APPROACH FOR SYMBOLIC TENSOR MANIPULATION

4. Z. Li S. Shao and W. Liu. Classifications and canonical forms of tensor product expressions in the presence of permutation symmetries. arXiv:1604.06156v1 [physics.chem-ph] Apr. 2016. Z. Li S. Shao and W. Liu. Classifications and canonical forms of tensor product expressions in the presence of permutation symmetries. arXiv:1604.06156v1 [physics.chem-ph] Apr. 2016.

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