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arXiv · 2305.08188

All linear symmetries of the $\mathit{SU}(3)$ tensor multiplicities

Emmanuel Briand·Mercedes Rosas·Stefan Trandafir
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Abstract

The $\mathit{SU}(3)$ tensor multiplicities are piecewise polynomial of degree $1$ in their labels. The pieces are the chambers of a complex of cones. We describe in detail this chamber complex and determine the group of all linear symmetries (of order $144$) for these tensor multiplicities. We represent the cells by diagrams showing clearly the inclusions as well as the actions of the group of symmetries and of its remarkable subgroups.

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BibTeXRIS

Emmanuel Briand, Mercedes Rosas, Stefan Trandafir. 2023-05-14. All linear symmetries of the $\mathit{SU}(3)$ tensor multiplicities. https://arxiv.org/abs/2305.08188

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