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Answer by Kimyeong Lee for Dual versions of "folding" symmetric ADE Dynkin...

The dual folding of the Lie algebra has recently appeared in our work arXiv:2103.06044 on twisted 6d (2,0) superconformal quantum field theories on circle. The 6d (2,0) theories of A, D, E type are not...

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Answer by Sam Hopkins for Dual versions of "folding" symmetric ADE Dynkin...

Let me explain how both kinds of foldings of Dynkin diagrams (i.e., $A_{2n-1} \to B_n$ and $A_{2n-1} \to C_n$) arise in the context of Lie algebras and characters of their representations.First of all,...

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Dual versions of "folding" symmetric ADE Dynkin diagrams?

Start with the Dynkin diagram of an irreducible root system, typically associated with a simpleLie algebra over $\mathbb{C}$ or a simple algebraic group. Most of the simply-laced ADEdiagrams admit...

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