Indecomposable Restricted Representations of Quantum $\textit{sl}_2$

Vyjayanthi Chari; Alexander Premet

doi:10.2977/prims/1195166137

JournalsprimsVol. 30, No. 2pp. 335–352

Indecomposable Restricted Representations of Quantum $sl_{2}$

Vyjayanthi Chari
University of California, Riverside, USA
Alexander Premet
The University of Manchester, United Kingdom

$Indecomposable Restricted Representations of Quantum $\textit{sl}_2$ cover$

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Abstract

We construct and classify all the indecomposable restricted representations of $U_{q} (sl_{2})$ when $q$ is a root of unity.

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Vyjayanthi Chari, Alexander Premet, Indecomposable Restricted Representations of Quantum $sl_{2}$ . Publ. Res. Inst. Math. Sci. 30 (1994), no. 2, pp. 335–352

DOI 10.2977/PRIMS/1195166137