The Invar tensor package

DOI10.1016/j.cpc.2007.05.015zbMath1196.15006arXiv0704.1756OpenAlexW1994699824MaRDI QIDQ710146

D. Kharzeev

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.1756

zbMATH Keywords

computer algebraRiemann tensortensor calculus\texttt{Maple}\texttt{Mathematica}\texttt{Invar}

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Software, source code, etc. for problems pertaining to linear algebra (15-04)

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Uses Software

• Cadabra
• GAP
• Maple
• Mathematica
• xTensor
• MathTensor

Cites Work

• The Canon package: a fast kernel for tensor manipulators
• ATENSOR -- REDUCE program for tensor simplification
• On the problem of algebraic completeness for the invariants of the Riemann tensor: I
• The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. II. Mixed invariants of even degree in the Ricci spinor
• The identities of the algebraic invariants of the four-dimensional Riemann tensor. III
• Review of some classical gravitational superenergy tensors using computational techniques
• A local potential for the Weyl tensor in all dimensions
• SECOND ORDER SCALAR INVARIANTS OF THE RIEMANN TENSOR: APPLICATIONS TO BLACK HOLE SPACETIMES
• Dimensionally dependent tensor identities by double antisymmetrization
• Classifying geometries in general relativity: I. Standard forms for symmetric spinors
• GROUP-THEORETIC APPROACH FOR SYMBOLIC TENSOR MANIPULATION

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