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14 hours ago comment added LSpice Probably such a product should respect split reductive groups, where it would become an operation on Dynkin diagrams such that $\mathsf A_{n - 1} \star \mathsf A_{m - 1}$ equals $\mathsf A_{n + m - 1}$. So perhaps one could look for such an operation?
18 hours ago history asked Adrien Zabat CC BY-SA 4.0