All linear symmetries of the $\mathit{SU}(3)$ tensor multiplicities
Autor: | Briand, Emmanuel, Rosas, Mercedes, Trandafir, Stefan |
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Rok vydání: | 2023 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | 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. Comment: One example added |
Databáze: | arXiv |
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