The GAP package T233

This package determines the rank and the (G)-orbit of tensors in the 18-dimensional vector space $$V=\mathbb{F}_q^2\otimes\mathbb{F}_q^3\otimes\mathbb{F}_q^3,$$ over the finite field ({\mathbb{F}}_q) with (q) elements, where (G\leq) GL((18,q)) is the natural group preserving the set of tensors of rank one in (V).

The algorithms depend on the classification of \(2\times 3 \times 3\) tensors from [Lavrauw-Sheekey 2015], which is summarised in this table. The code is written in the GAP-language and uses some functionality from the GAP package FinInG. Tensors are represented by points in the projective space PG\((V)\).

For more information, you can visit the following webpage: T233.

Contact

Nour Alnajjarine 
nour.alnajjarine@math.uniri.hr
Faculty of Mathematics
University of Rijeka

Michel Lavrauw
michel.lavrauw@me.com
Department of Mathematics
Faculty of Mathematics, Natural Sciences and Information Technologies
University of Primorska, Koper, Slovenia.

License

T233 is free software; you can redistribute and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your opinion) any later version. T233 is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.