The Canon package: a fast kernel for tensor manipulators Original Research Article

This paper describes the Canon package written in the Maple programming language. Canonʹs purpose is to work as a kernel for complete Maple tensor packages or any Maple package for manipulating indexed objects obeying generic permutation symmetries and possibly having dummy indices. Canon uses Computational Group Theory algorithms to efficiently simplify or manipulate generic tensor expressions. We describe the main command to access the package, give examples, and estimate typical computation timings.