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Papers by the author

The canonical introduction to Cadabra for high-energy physicists is the original paper,

Kasper Peeters
Introducing Cadabra: a symbolic computer algebra system for field theory problems
pdf file (paper updated for 2.x syntax)
hep-th/0701238 (the original paper in 1.x syntax)

A general introduction to Cadabra (the old version, that is) can be found in

Kasper Peeters
Symbolic field theory with Cadabra
Computeralgebra Rundbrief 41 (2007) 16.

Finally, a technical explanation of the motivation for writing this software, as well as a sketch of the internal structure, can be found in the paper

Kasper Peeters
A field-theory motivated approach to symbolic computer algebra
cs.SC/0608005, Comp. Phys. Commun. 176 (2007) 550-558.

As soon as version 2 reaches a stage where it is feature complete (in the sense that all version 1 algorithms and properties are available), I will put out a new paper.

Introductory papers

Leo Brewin has written a nice introduction to Cadabra version 1 for people who intend to use it in General Relativity,

Leo Brewin
A brief introduction to Cadabra: a tool for tensor computations in General Relativity
also available as arxiv:0903.2085

Research papers

The list of papers citing cadabra is getting too long to maintain by hand, but Google Scholar does an excellent job at it. See the list of papers citing the Comp.Phys.Comm. paper and the list of papers citing the hep-th paper.

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