The 144 symmetries of the Littlewood-Richardson coefficients of $S{L}_3$

Abstract

We compute with SageMath the group of all linear symmetries for the Littlewood-Richardson associated to the representations of $S{L}_3$. We find that there are 144 symmetries, more than the 12 symmetries known for the Littlewood-Richardson coefficients in general.

9 pages. See also the Sage Notebook as an ancillary file, or at: https://nbviewer.jupyter.org/url/emmanuel.jean.briand.free.fr/publications/the144symmetries.ipynb

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