Article
All linear symmetries of the SU(3) tensor multiplicities
Author/s | Briand, Emmanuel
Rosas Celis, Mercedes Helena Trandafir, Stefan |
Department | Universidad de Sevilla. Departamento de Álgebra |
Publication Date | 2024 |
Deposit Date | 2024-02-07 |
Published in |
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Abstract | The 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 ... The 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. |
Citation | Briand, E., Rosas Celis, M.H. y Trandafir, S. (2023). All linear symmetries of the SU(3) tensor multiplicities. Journal of Physics A: Mathematical and Theoretical, 57 (1), 015205-1. https://doi.org/10.1088/1751-8121/ad0dc7. |
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