The Invar Tensor Package

Simplification of polynomials with Riemann tensor and manipulation of tensorial indices

The Invar Tensor Package is a simplifier of algebraic expressions that contain Riemann or other tensors. The Invar tensor package has a database build on top of the Canon Tensor Package which is fully included in this version. The database contains scalar invariants (polynomial and differential) up to Riemann^7, and up to Riemann^5 * epsilon, and up to 10 covariant derivatives of Riemann.

Version 2.1

The present version (2.1) is documented in the paper The Invar tensor package: Differential invariants of Riemann, by J.M. Martín-García, D. Yllanes and R. Portugal, Computer Physics Communications, to appear. See also  http://arxiv.org/abs/0802.1274.

Download the current version (2.1) and related files.

The Invar tensor package runs on top of Maple 9.5, 10 or 11.

Version 2.1 has interface with GRTensor.

There is a version for Mathematica at the website MathematicaInvar.

Version 1.0

Download old version (1.0) and related files. See the readme_v1.txt file for details.

Version 1.0 is documented in the paper The Invar tensor package, by J.M. Martín-García, R. Portugal and L. Manssur, Computer Physics Communications 177 (2007) 640-648. See also the preprint version http://arxiv.org/abs/0704.1756.

Comments or bug reports: Portugal_at_Lncc.Br
Do not hesitate to send me bug reports.