Quantum Groups

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  • What is a Poisson manifold? What is a symplectic leaf and why is it smooth? (Reshetikhin) [Note: The proof is long. I provided a coarse outline and offered to elaborate on any or all points. I was not taken up on the offer.]
  • What is the double of a Hopf algebra? (Haiman) You have given a universal definition; can you state explicitly what the multiplication is? (Reshetikhin)
  • What does "quasitriangular" mean? In terms of elements, and in terms of the representation theory. (Aganagic)
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