I am study the representation theory of the big quantum group at a root of unity, and I am wonder if it is known a complete classification of the indecomposable modules for it. To be more specific, because the general question is hard to answer, Is it known a complete classification of indecomposable modules for the big quantum group of $\mathfrak{sl}_2$ ? I know there is a classification for the small quantum group of $\mathfrak{sl}_2$, ("Indecomposable restricted representations for quantum $\mathfrak{sl}_2$, Chari & Premet), but for the big, I could't find any answer.

  • $\begingroup$ Are you still interested ? If yes I can ask someone who might know the answer. $\endgroup$ – Nicolas Hemelsoet Dec 5 '18 at 17:50
  • $\begingroup$ Yes, I am still interested @NicolasHemelsoet. $\endgroup$ – JC Arias Dec 17 '18 at 21:14
  • $\begingroup$ Ok, I'll ask tomorrow and come back if I got an answer. $\endgroup$ – Nicolas Hemelsoet Dec 17 '18 at 21:16

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