Indecomposable restricted representations of quantum \(sl_ 2\)
Here the authors determine all indecomposable representations for the Frobenius kernel in \(U_ q ({\mathfrak {sl}}_ 2)\), the quantized enveloping algebra for \({\mathfrak {sl}}_ 2\) at a root of unity \(q\). The results are analogous to the result for the modular Lie algebra \({\mathfrak {sl}}_ 2\) [cf. e.g., \textit{A. N. Rudakov}, Mosc. Univ. Math. Bull. 37, No. 6, 51-56 (1982); transl. from Vestn. Mosk. Univ., Ser. I 1982, No. 6, 45-49 (1982; Zbl 0506.17004)].
scientific article; zbMATH DE number 621964
scientific article