Titlebook: Representation Theory, Mathematical Physics, and Integrable Systems; In Honor of Nicolai Anton Alekseev,Edward Frenkel,Milen Yakimov Book

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Peter-Weyl Bases, Preferred Deformations, and Schur-Weyl Duality,ite dimensional representations. This leads to a preferred deformation, meaning one where the structure constants of comultiplication are unchanged. The structure constants of multiplication are controlled by quantum 3. symbols. We then discuss connections earlier work on preferred deformations that involved Schur-Weyl duality.

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e of the global interconnected systems as well as the fault tolerance of the individual subsystems. Interconnected systems can be developed either from a standpoint of centrality of control based on the construction and design of a global system that satisfies the above requirements. Alternatively,

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