Indecomposable modules for the big quantum group

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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 $mathfraksl_2$ ?
I know there is a classification for the small quantum group of $mathfraksl_2$, ("Indecomposable restricted representations for quantum $mathfraksl_2$, Chari & Premet), but for the big, I could't find any answer.




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    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 $mathfraksl_2$ ?
    I know there is a classification for the small quantum group of $mathfraksl_2$, ("Indecomposable restricted representations for quantum $mathfraksl_2$, Chari & Premet), but for the big, I could't find any answer.




    representation-theory quantum-groups




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      up vote
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      up vote
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      down vote

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      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 $mathfraksl_2$ ?
      I know there is a classification for the small quantum group of $mathfraksl_2$, ("Indecomposable restricted representations for quantum $mathfraksl_2$, Chari & Premet), but for the big, I could't find any answer.




      representation-theory quantum-groups




      share|cite|improve this question











      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 $mathfraksl_2$ ?
      I know there is a classification for the small quantum group of $mathfraksl_2$, ("Indecomposable restricted representations for quantum $mathfraksl_2$, Chari & Premet), but for the big, I could't find any answer.





      representation-theory quantum-groups





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      asked Aug 2 at 23:01









      JC Arias

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