The Invar tensor package

2007/04/13 by José M. Martín-García, J.M. Martín-García, Jose M. Martin-Garcia +5 · 120 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Geometry #Mathematics #Pure mathematics #Scalar (mathematics) #Tensor (intrinsic definition) #Tensor decomposition and applications #cs.SC #gr-qc #hep-th

paper · pdf · doi:10.1016/j.cpc.2007.05.015

published in Computer Physics Communications 177(8), 640-648 (Elsevier BV) · Accepted in Computer Physics Communications. Package can be downloaded from http://metric.iem.csic.es/Martin-Garcia/xAct/Invar/ (Mathematica version) or http://www.lncc.br/~portugal/Invar.html (Maple version)

arxiv created 2007/04/13 · openalex publication_date 2007/06/06 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The Invar package is introduced, a fast manipulator of generic scalar polynomial expressions formed from the Riemann tensor of a four-dimensional metric-compatible connection. The package can maximally simplify any polynomial containing tensor products of up to seven Riemann tensors within seconds. It has been implemented both in Mathematica and Maple algebraic systems.

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